{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:04.757129Z",
     "start_time": "2025-04-29T12:52:04.261204Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import os"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:04.762409Z",
     "start_time": "2025-04-29T12:52:04.758135Z"
    }
   },
   "cell_type": "code",
   "source": [
    "matplotlib.rcParams['font.sans-serif'] = ['SimHei']  # Windows: 黑体\n",
    "matplotlib.rcParams['axes.unicode_minus'] = False  # 防止负号显示异常"
   ],
   "id": "b2e6a3c327474ccc",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:04.767458Z",
     "start_time": "2025-04-29T12:52:04.762409Z"
    }
   },
   "cell_type": "code",
   "source": [
    "g2 = 50.0    # 耦合常数（单位任意）\n",
    "mu = 0.5     # 屏蔽参数"
   ],
   "id": "3d7f1035f43d30d5",
   "outputs": [],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.150037Z",
     "start_time": "2025-04-29T12:52:04.768730Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 定义Yukawa势能函数\n",
    "def yukawa_potential(r, g2=g2, mu=mu):\n",
    "    return -g2 * np.exp(-mu * r) / r\n",
    "\n",
    "# 构造距离数组，避免 r=0\n",
    "r_values = np.linspace(0.1, 20, 1000)\n",
    "V_values = yukawa_potential(r_values)\n",
    "\n",
    "# 绘制势能曲线\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(r_values, V_values, 'b-', lw=2, label=\"Yukawa势\")\n",
    "plt.xlabel(\"距离 $r$\", fontsize=14)\n",
    "plt.ylabel(\"势能 $V(r)$\", fontsize=14)\n",
    "plt.title(\"汤川势能曲线\", fontsize=16)\n",
    "plt.legend(fontsize=12)\n",
    "plt.axline((0, 0), (20, 0), color='black', lw=1,linestyle='--', label=\"x轴\")\n",
    "plt.savefig(\"./output/Yukawa_potenial.png\")\n",
    "plt.show()\n"
   ],
   "id": "2ae8e2de2d2ad843",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.155116Z",
     "start_time": "2025-04-29T12:52:05.151042Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 定义 Yukawa 势下的加速度函数\n",
    "def yukawa_acceleration(r, g2=g2, mu=mu):\n",
    "    x, y = r\n",
    "    r_norm = np.sqrt(x*x + y*y)\n",
    "    # 为避免 r=0 处奇异，作简单处理\n",
    "    if r_norm < 1e-6:\n",
    "        return np.array([0.0, 0.0])\n",
    "    factor = -g2 * np.exp(-mu * r_norm) * (mu/r_norm + 1/(r_norm**2)) / (r_norm)\n",
    "    return factor * np.array([x, y])"
   ],
   "id": "9eed122f38f2be40",
   "outputs": [],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.164680Z",
     "start_time": "2025-04-29T12:52:05.155628Z"
    }
   },
   "cell_type": "code",
   "source": [
    "dt = 0.01          # 时间步长\n",
    "steps = 2000       # 最大时间步数\n",
    "v0 = 20.0          # 初始水平速度（固定）\n",
    "X0 = -30.0         # 发射点 x 坐标"
   ],
   "id": "562296e21e9b0aaf",
   "outputs": [],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.170443Z",
     "start_time": "2025-04-29T12:52:05.164680Z"
    }
   },
   "cell_type": "code",
   "source": "impact_parameters = np.linspace(-3, 3, 10)",
   "id": "a77f33befd7b8370",
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.234839Z",
     "start_time": "2025-04-29T12:52:05.171449Z"
    }
   },
   "cell_type": "code",
   "source": [
    "trajectories = []\n",
    "\n",
    "for b in impact_parameters:\n",
    "    r = np.array([X0, b])\n",
    "    # 初始速度：水平方向，大小 v0；竖直分量为 0\n",
    "    v = np.array([v0, 0.0])\n",
    "    traj = [r.copy()]\n",
    "    \n",
    "    # 采用速度-Verlet方法模拟运动\n",
    "    for i in range(steps):\n",
    "        # 当前加速度\n",
    "        a = yukawa_acceleration(r)\n",
    "        # 位置更新： r_new = r + v*dt + 0.5*a*dt^2\n",
    "        r_new = r + v * dt + 0.5 * a * dt**2\n",
    "        # 计算新的加速度\n",
    "        a_new = yukawa_acceleration(r_new)\n",
    "        # 速度更新： v_new = v + 0.5*(a + a_new)*dt\n",
    "        v = v + 0.5 * (a + a_new) * dt\n",
    "        # 更新位置\n",
    "        r = r_new\n",
    "        traj.append(r.copy())\n",
    "        # 如果粒子已经远离散射区（例如 x > 50），可退出模拟\n",
    "        if r[0] > 50:\n",
    "            break\n",
    "    trajectories.append(np.array(traj))"
   ],
   "id": "69c935a4baf61e1",
   "outputs": [],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.568317Z",
     "start_time": "2025-04-29T12:52:05.235840Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "for traj in trajectories:\n",
    "    plt.plot(traj[:, 0], traj[:, 1], lw=1)\n",
    "\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.title(\"Yukawa 势场中粒子的散射轨迹\\n(不同入射影响参数 b 显示不同偏转效果)\")\n",
    "# 另一个核子的位置\n",
    "X_nuc = 0\n",
    "Y_nuc = 0\n",
    "for traj in trajectories:\n",
    "    plt.plot(traj[:, 0], traj[:, 1], lw=1.5, alpha=0.8)\n",
    "    \n",
    "    arrow_index = int(len(traj) * 0.6)\n",
    "    if arrow_index < len(traj) - 1:\n",
    "        start_point = traj[arrow_index]\n",
    "        end_point = traj[arrow_index + 1]\n",
    "        vector = end_point - start_point\n",
    "        scale_factor = 5  # 根据效果调整\n",
    "        vector = vector * scale_factor\n",
    "        plt.quiver(start_point[0], start_point[1], vector[0], vector[1],\n",
    "                  angles='xy', scale_units='xy', scale=1, color='black')\n",
    "\n",
    "\n",
    "# 在图中标记出核子的位置\n",
    "plt.ylim([-20, 20])\n",
    "plt.xlim([-5, 50])\n",
    "plt.scatter(X_nuc, Y_nuc, color='red', s=20, label='目标核子')\n",
    "plt.savefig(\"./output/Yukawa.png\")\n",
    "plt.show()"
   ],
   "id": "6a8e6ce26e86b7a2",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ],
      "image/png": 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S+kaOHIn77ruvyvaysjKYzWbcf//9PvXExsYiMDAQgYGBWLx4MQDPFL7OnTsjLS0N77//vnffyo1UBavViu+++w45OTnIycnBxIkTYbfbMXHiRNx1111Qq9XYsWMH9u3bV+20RcAzIlW51or7jIyMREpKCjZv3lzj9+69997Db7/9hhMnTuC1117DsGHDUFBQ4F1rdvToUbRs2RJqtRrFxcU+DXHF97Vp06ZQq9UIDAzEt99+i7Nnz+LBBx9ETk4OmjZt6rO/SqXC3//+dyxatMg72kZEVBdwjRQR0Z8QHh5+0XSyymRZ9vl6y5Yt+O6779CkSROkp6dj0KBB3uuaNWuGoUOHYt68edi4cSOSk5Nhs9m8a3YSEhJw7Ngx7NmzB507d0ZQUBDS0tJw4MAB72hQfHw8SktLMW3aNGzZsgX79+/3TgOrLVmWcd999+H2229H9+7doVAo0KlTJ+zbtw+LFi3Cc88957P/V199hccee6xKsMCFhBA4ffo0Fi1ahA8//BA5OTk4ePAghg4d6m2kKlL3KurYunUrQkNDqxxr0qRJVbZVrLWp7JNPPvEeOyEhAcOGDUP//v0xfvx4RERE4LfffsMdd9yB/fv3o0OHDmjRooX3tkFBQT71VKZSqaDRaGr9Oti7d6+3wfn73//u3W4wGDB16lT85z//wWOPPeadJndhI6XRaDB06FDv17IsY+DAgd5a+vbti++++w47duzweU0BnvM7FRQUeJvSChWvicDAQCQmJuKXX36pcU1Snz59vJ8bjUaoVCqfqXt79uzxTjUtLi6uMXwD8DTUAwYMwL///W/07t0bH374YbXr0iZPnozc3Nxqp1ASEfkLR6SIiK4Bl8uFvLw8n23Z2dn44osv8Morr+DFF19EaWmp97rk5GR069YNKSkpmDRpErZu3eqTTtezZ08IIfDDDz+gS5cu6Ny5M1auXImysjLviNR7772H4cOHw+12Y+bMmTh69KjP+qnaSEtLQ4cOHRAXF+c98atCoUBGRgaef/75KtPZIiMj0a9fvxrT1VavXo2//OUvWL58OW677TbExcVh0qRJ+PLLL9GiRQv06dOn2kbK6XTi+uuv91kbVFRUBMCT/lZ5++uvv+5zji/AM1Xy5ZdfxoMPPgjAEzYxc+ZMPP3003C73ejfvz+2bNkCANi8eTOSkpIu63m6HKGhoQgPD0d4eHiV6PX7778f586dw/r16wF4GpzqTqy7YcMG79qk6dOn+1w3btw4fPzxx9i3b59PwwV4ms6XX34ZO3fu9FmP9uSTT3r3uf322xEXF1dt7UIIlJSU4NChQ/j111+xc+dOHDhwAGPHjkWbNm2QlZWFn3/+2dvYVTcidaH27dvj73//O44cOYIvv/wSd999d5V9QkJCMHv27AaXiklE9RsbKSKiq0CpVPqM/Pz0009VTih6xx13YPz48XjooYcQFBTkc76iL7/8Es2bN8fSpUsxZcoUxMXF4fDhw97r9Xo9YmJi8MMPP6Bz587o3LkzfvjhB0RHR3vT0BYtWoQ777wTH3zwASZMmACDwYDz589f1uOIjY1FTk4Ozp07550G9vrrr0On0yErK8tnetiMGTOqhCUAnhGYOXPmAABmzZqFVq1a4amnnsLp06fx3XffobS0FP/5z38wdepUSJLkXSNU+Q34F1984RM+cTHPPvus96S6FZ577jkYDAbcdddd3m3PP/881q5dC6VSiT59+mDbtm0AgPXr1/tM67uWoqKisGfPHm90uMlkqnEkrCZ33303tFotWrRoUeV8Vhs2bPAJq7jhhhswYcIEfPLJJ959HnjgAZ/nqbKUlBSEhISgS5cuGDVqFH777TdotVrceeedWLFiBYqLi7F3717cfPPNAGrXSAGedXc33HADEhMTMXbsWKxduxZfffVVtU0kEVFdwUaKiOgqiIuLw6effgqn04kdO3bg6aefrpKeplarvR9fffVVzJ071xtZHR4ejjNnzuC7777DypUrcdNNN2H79u0+Iy0JCQlwOBzeESmHw+Edjao4xvbt27Fu3Tp8+eWXGDJkCMrKyqqM1lyMWq1Gq1atEBERgZCQEOzatQuvv/46/vGPfyAqKgohISHeS15eXpXzSM2dOxe9e/fGrl278OWXX+LUqVN44YUXEBkZiU2bNqFly5a4//77oVAovNPczGYzJEm66JSwy3H8+HF8+OGHePvtt73POQDvWi/As0apffv2yMzMxNmzZ69q1HZOTg6ys7ORnZ3tEyxRoWK9nd1uh9VqrdJICSEwZMgQ7yjgu+++63N9eno6hBAwm83eWPIKOp3OGz7x1FNPYdeuXXjjjTdqXXt8fDyeffZZrFmzBiUlJXj66afRrl07TJgwAd27d8crr7yC3r17e0e0Kqb2nT9/Hu+88w6sVisA4ODBg9i+fTu+/vprfPfdd1AoFBg2bJg37fHQoUM4fPgwnnnmmVrXRkR0rbGRIiK6ChYsWIADBw6gSZMmePTRR/HZZ59ddFrShAkT0LVrV2/632OPPYbx48fjwQcfxOTJkxEZGYn/+7//w86dO72NUEJCAtRqNdq1a4eWLVsiMDDQp5GaN28emjVrhptvvhnPPvssHnzwQSQkJHinsNWWEAKbNm3C5MmTMXLkSNxxxx2YNWsWAE/wgcViwaFDh/Dbb78hPj7e57YPPfQQVq1ahV27dmHixIlQq9Vo3749fv31V+j1eowePRorV67El19+iYCAAAghsHPnTp81NzWpWHNWEQlfk3bt2iEtLc3nXFOAJ8ghIyMDWVlZaN++Pd58800sWbIE7du3h81mQ3Z2Ng4dOlRj43n8+HGkpqYiIyOjVieKrah3yJAh3il13377bZW1cxUOHDgAAAgODq5S9+bNmyGEwIkTJzB27FhvtPo333yDm2++Ga+88gqee+453HbbbZg8ebL3/FmAJ5Vw4sSJmD9/PpYvX+4T219TzRUUCgVef/11DB8+HAaDAbIse/f58ssvsWTJEsycOdO7v8ViwZEjR/D2229j5syZsNlsSElJwaBBg9C5c2dMmDABM2fORL9+/XDo0CHMnDkTL774Imw2GyZNmgSr1Yp3330Xb775Jl544YVLnquLiOiaEkRERDVYuHChCA4OFgqFQvzlL38R69ev97l+yZIlAoAAICIjI0VOTk6tjpubmysiIiJEcHCwWLFihRBCiC1btgiFQiEAiDvuuOOSx8jLyxMAxLffflvrx5OcnCwUCoUQQojs7GyhVqtFUFCQCA4OrvaiVqtFXl5etccaN26cACCUSqVYsmTJJe/7yJEjAoDIysrybnvggQd8Hmtpaal44oknxEMPPSRat24tunbtWuU4kiSJzZs3CyGEWLRokQgJCRGLFy8WL7zwgujevbv3uorHO2DAALFw4UIhhBBvvvmmCAkJEV27dhUHDhwQTqdTfPbZZ2LUqFFi4MCB3tt99NFHYsaMGUKhUIjk5OQaH9OcOXPE9ddfL0pLS0Xbtm3Fdddd53P91q1bRUBAgAAg/u///k8IIcTq1atF//79hdVqFUII4Xa7xa+//iqefPJJceONN4pu3bqJZs2aCY1G431tVVzef//9Sz7PRETXikKIS/wpj4iIGi2bzYYFCxZg/Pjx1UZpy7KMn3/+Ge3bt0dMTEytRmYqLFiwADfccAPatm3r3fbyyy8jNjYWo0ePrhLEcKFDhw6hS5cu+Pzzz6tN7qvO1q1bMXjwYNhstkse/1IOHDiAvLw89OzZs1aJfWfPnsXs2bPx4osvetexrV+/HjabDTfeeKN3v+uuuw55eXm4/vrr8dxzz6Fly5Y1HlOWZe85sypGhy72PTh48CB+/PFHPPHEE97H36tXLxQXF+Ott97C+PHjAQDvvPMO5syZgxkzZlx0et3LL7+MtWvXYvPmzcjLy4PZbEb79u199hHl0fWVp1UKIWp1bjC32w2LxQK73Q673Y6wsDAm9xFRncFGioiIqBGrLhnQbrdDo9Fc9omQiYgaEzZSREREREREl4lhE0RERERERJeJjRQRUSPhdruv2X1deB4noqvlwhNdV95+8uTJa1wNETUmbKSIqM4rKipCbm4uAM/ajfz8fJSVlcFms9XqYjabUVhY6D2e2+2u9W0rX2qaCe1wOPDtt9/+4cf35JNP4scff6zx+pMnT+L5559HWVmZz/bCwkLccMMNNV5KS0u9+5aVlSE+Ph7Lli2rdV1Hjx7FypUrqz3X0cUcPHgQnTp1wvz58wGgVuetstvtAIDvv/8eGzZsAADv/QohsGLFCu8+/mQymVBQUFCrS02vF6vVesmm1uVyVft4z549i9LSUlit1lq9Zq1WKwoLC733J4T4Q6/9muo1m81Vtu3bt69W4R+5ublYsGABiouLq1x3/PhxzJ492/v/vib79+9Hq1atsGfPnirXfffdd2jXrp1P9PuVtH///qtyXCKqR/wTFkhEVDsOh0Ncd9114vXXXxdCCLFmzZoqkci1ubRq1cp7zAULFvyhY5w5c6baGl955RUBQDzyyCNCluXLenxWq1WoVCqxcePGGvdJSUkRAERhYaHP9jNnzggAYunSpWL37t3ey08//SQACLPZ7N333nvvFbGxseLUqVO1rm3OnDnCaDSKkpKSWt/mxIkTIioqSkyYMEFYrVaxc+dO0bp1a7F69eoab/Puu++KG264QbhcLnHDDTeImTNnipKSEhEcHCwOHz4sjh8/LgB4Y9L96YEHHqj166WgoKDaY7Rt27ZWt3/kkUd8bud0Ov/Q6xaAOHLkiBBCiEOHDv2h23/99ddVHkdJSYkICwsT33zzjc/2oqIioVKpxO7duy/6XH733XdCr9dX+//qp59+Enq9vlavvbi4ODF16tQq22+99VYxfvz4i952y5YttX4O/vGPf3hvV1xcLJo3by5WrVp1yfqIqOGqfU4tEZEfPPvsswgMDMTTTz8NABg8eDBOnToFjUYDjUbjs++DDz6I7OxsrF271me72+2G0+n0fl0R+5yVlVWrGjZu3Ih77723yolRK7zwwgsIDg7G3//+d7hcLu9IzKWMHDkSv/76KwAgKSnJu33q1Kk+xwgKCgKAKo+34iSsY8aMqfb4FTHR//73v7F69Wrs2rULrVu39l5fUFCAjz/+2Pu1Xq/HjBkzvF/v27cPw4cP997/pWzevBl33nkn7rrrLsyZMwcKhQIJCQmYPHkybrrpJrzwwgt46aWXqiTBPfjgg/joo4/wxRdfQK1WQ6PRYP78+ejfvz86duyI//3vfwgODsZf/vKXWtVxoVmzZuH777+/IiMIOp0OQ4cOvejI3oYNGy4a375p0yZoNJqLxpQ7HA6fuHAAUKlUOHnypPe1X/l5/PTTT/H8888jJSXF58TPonwEKiIiAsDvr/2vv/4a/fv3v+Tjtdvt6NKlS7Wv/a+++go6nQ6jRo3CyJEjsXbtWp+aKo4vyzImTJiAr776CgBw5MgRuFwu/Pzzzxg+fDhMJhOOHj2KVq1awWw2IywsDEeOHEGfPn28rz2n0wlZlqHValFQUIAPPvgAOp0OkiRhwIABiIyMxFtvvQW73Y5Ro0ahS5cu+OWXX/DDDz9UeV4r/z+qeD5OnTrl/b/xzjvv4IsvvkBycrJ3v+HDh/vErgcHB+OHH37AuHHjkJqaihYtWlzyuSSihoeNFBHVWZmZmfjss8+QkZHhPVeOTqfzaQYqbN26FT/++CPWrl17yXP6VDQgUVFRsNls0Gg03uNX5na74Xa70axZMwCo8sa2sunTp0MIgcceewyDBw+u1dQmrVaLmTNneptEAHj44YervAGvKYK6YrrV0qVLfd7I5eTk4JZbboHNZsNHH32El156CevWratyHqjCwkI888wzmDlzJs6fP48lS5Zg/PjxaNOmjfc5AuDzhl+WZfTq1cvnTSYArFy5EqNGjYJKpcLXX3+NTz75BE6nEw6HA0IIGAwGvPzyy8jOzsann37qc9uFCxfir3/9KywWC06dOuW9jy5dumD16tVYu3YtBg0a5DONzG63Izw83KfOa0GSJNjtduTk5NS4T35+PgDUWFubNm3+8P1Xdy6v4uJizJ49G48//jg6dOhw0dtX1NS8eXO0aNECKpWq2jplWYbT6fROT7zwte92u/HWW2/h1VdfRUBAANRqNd599108+uijVY41a9Ysn7VK999/P9LT01FSUoKQkBD069cPNpsNK1euxLBhw3ymEVZ+7T/wwAP4+OOP4XK5cObMGej1ekiSBKPRiPPnzwOAdzrjTz/9BJPJhJtuusn7eCoeS1FRkfdnxOW8fi7cd+DAgXjooYfw1FNP4fPPP6/1cYio4WAjRUR11n/+8x/8/e9/9/kLe3UsFgvuu+8+GAwGXH/99Zd1H126dMGJEydqvP6ll16q1V/uAWDGjBn48ssv8fTTT+O222675AlfNRoNLBYLCgoKvNvsdjvUajVSUlKg1WqhVCq9wQ1HjhyBUqlEx44dodfroVQq0bt3b7z88stVjt27d2+cP38ea9aswerVq9G3b19YLBasWLECt912m/f+AWDOnDk4ePAgVq5c6X3DnJKSgm7dulU57j/+8Q9s27atyvbExES89tpr6Nu3L5RKJYYNG4Zvv/0W48eP9zZiDz/8MKKjo6vcdtWqVVCr1UhNTUVOTg7sdju0Wi1cLhf279+PVatW4dSpUwgNDfW5XeVRhGtFkiRs374dXbt2veS+1+ocTI888gjOnTtX48hkTaZOnYrFixfXeH1SUhJWr15d7XXvv/8+srKycPfddwPwNNvTpk3DtGnTqt3/zjvv9H6+efNmpKamIjExEadPn/Y5h5XJZIJWq8XAgQNx//33Y8qUKQA8a8YqGqzmzZvjww8/REZGBp555hn897//RWlpKZ599lksXrwYWq0WTz75JGbMmIF33nkHgOf7tmrVKgwZMsTn/iqaq+oa1Au/f4MGDaqyz7PPPos2bdrgzJkzHJUiaoTYSBFRnSTLMn7++Wfs3r37kvtOmTIFWVlZ3sZl9uzZcLlceOGFFy552+XLl0OSpGpHpFwuF5o0aYK0tLRa1VxcXIzMzExYLBYsXrwYDz300CVv8/HHH3unPAGeN5KPPvoo+vbtC51OB5VK5X2zN3ToUFitVuzevRsxMTEICAjAzp07oVQqsWPHDowcORKZmZlo1aoVZFmG3W7HTz/95G2OHnvsMfzwww8YPnw4QkNDq506VnnaU0XQQIXAwEAAvlMMT58+7Z2m9sgjjwAAPvroIzRp0gRDhw71Cap45ZVXoFQqkZ+fD0mSEBYWBgD45ZdfsHr1atx+++3o2LEjhg4dCqfTiffeew+7du3CqVOncPToUbRv3x7bt2/3HvdiU+OuFrfbjWHDhlWZPlrZ2rVr8Ze//AWyLPtsr2gSL+dEt06nEwEBAd6peRdauHAhvvvuO+/X69evx/vvv4/PP/8cer3+oseeNWsWnnzyyRpHpGoagc3Ly/NO0ay4bXFxMT766CM8+OCDtXpcn3/+OSZNmoTPPvsMP/zwA9asWYPz5897gyf27NmD119/3TvyV/F6joqK8tY1a9Ys5OTkICgoCE6nE+vWrcPTTz+N4cOHY+fOnVi4cCEAzx9ahBCIiIiA0Wis8jiB2k3tqy5ww2AwYPTo0fjhhx+qHY0jooaNjRQR1Um5ubnQaDRo27btRfd75plnsHLlSrz44ov45z//CQDo2LEjJkyYgPPnz+Pf//73Rd+0VjfqcqHaNlLz589HREQEhgwZgnfffbdWjdRTTz2FWbNmeb++9957AXjWclTIzs5GdHQ0Tp8+jYCAAO99/e1vf6tyvAtHaCre3C5ZsgSLFy/GunXrqozsVFa5oXz++efx9ttve7/evHlzlf0HDRpU44hexZTI6lRM07JarZgzZw7eeecdfPPNN1i4cCECAwORnp6O22+/3dtslZSUAPDEqjdt2vSi0yxr8vrrr+Ptt9+GUqnEww8/jFmzZl32qJHb7YbFYrloEtypU6e8+1b26KOP4ueff77sumfOnIk5c+ZU2b58+XJMmzYNb7/9tndtW8uWLbFlyxaMHDkSy5cvv+j6tqioqEved+VGGvA8pgkTJqBXr17YuHGjd3thYeElp9RWKCkpweLFi7Fp0yb89ttv3imb//3vfzFz5kyoVCq43W6fETa73Q6Xy4WsrCxERUVh6dKl+Pnnn5GcnAyNRoMWLVpg4cKFuPXWWxESEoKmTZtiypQp2Lp1q7cZq27UqeLxVX4uhBCQZbnKlNaePXtW+3gGDRqEXbt21eqxE1ED47eYCyKii9i1a5dISEio8Xq32y1mzJgh9Hq9WL9+vfj666+F0Wj0Xv/FF18ISZLEgw8+WCVJ7/PPPxeVf/xdf/311aZ0VSTNrVq1SgAQTqezxnpKS0tFWFiYmDNnjjcJ7LfffrvoY7z11lurvd8nnnhCfPvtt+Luu+8WQgiRlZUlAIiysjLvbe12uygqKhI7duzwSeyruOzYsUMUFxcLh8MhkpOTRXBwsFi0aJHP/Z86dcr7PBw4cEC0bdtWFBUVCQAiPT1dPPHEE+Kee+4RQniS5jZv3iyeeOIJkZSU5D1GWVmZsFgswu12i2PHjomuXbuKcePGCbvdLmw2mzh48KCYPn26iI2NFTk5OUIIT/qczWYTQghx7NgxMWrUKJGSkiJOnjwp/u///k98//33oqSkRCxcuFCo1WrRrFkz8fHHHwshhHjvvffEkCFDLvq8Xuill14SKpVKJCQkiNWrV4s5c+YIpVIpPvzww8s6jhBC3H///bVOecvPz/e5bUlJiSgrKxNWq9XnkpGRIQCI7Oxsn+0Wi0UUFBRUSWsUQoivvvpKaDQa8c9//tOb3liRkpeeni7CwsJEQkKCOH/+vM/tKr7n69evF0L8njh54eXpp58WQnhSJQGINWvWCCE8KXdRUVFiw4YNQqlUeo8bEhIiJEkSSqWyxsu7774rhBDinnvuES1atBD/+te/xPjx40VUVJR49dVXxc6dO4UQQjz33HPi1ltvrfKYXS6XEEKI8+fPi7CwMPHCCy8Ih8MhhPCkES5YsEB88MEHoqysTOzcuVMYDAbhcrnE8uXLRUhISK2/x//5z39E7969a73/8uXLxahRo2q9PxE1HDyPFBHVSZIkVZkaVaGwsBA333wzPvnkEyxfvhxDhw6tss9dd92FDz74AB9//DGmTJlS4zl9AE/ow2OPPYaioiLvRavV1pjSV51XX30VdrsdDzzwAAYNGoSePXvi9ddfv+TtZs6c6XO/FWtJmjRpgm+//RYWi6Xa22k0GlitVvTv3x+jR4/GuHHjvJfRo0ejf//+kCQJa9euxYgRIzB9+nTcf//9tX48tRUQEABJkjB37lzEx8dj1KhR+N///oedO3eif//+GDZsGF566SX06dMHcXFxWLx4MSRJ8k7DbNmyJd58800EBgbi7bffxq+//opevXqhtLQUrVq1wuTJkzF16lTv6MeBAwcQGxt72XW63W58/fXXGDlyJGbOnIk77rjDu37mcsyfPx9CCAghoNPp8P7770MIgR07dgAAMjIyIISA2+1GkyZNfG4bFBSEgIAA6HQ6bNmyBXa7HTqdzjtVUqvVQqfT4cSJE9DpdNDr9QgLC/M5jtvtxrPPPotJkybhtddew1NPPVWlxm7dumH16tU4dOgQ/vKXv1R7nqYKWq0WCQkJPq/BYcOG1fjaHzRoENLT032uP378OIqLizFkyBC4XC5069YNy5cvx8cff4xx48bB5XKhf//+3lHEpk2bIjw83FtjSUkJ1q9fj7NnzwIAfvvtt2rXJVZMIwwNDcWWLVsQEhKC66+/HmfPnsWyZcvwxhtvYOrUqQgICEBCQgIkScK2bduwZ88e9O7d2+dYLpcL27Ztw7Fjx1BUVITi4mLvpeI8X5W3FRcXo6ioCHl5eVVGGt1u9zUPPSGiuoFT+4ioTmrRokW1J+NcunQppk6dCoPBgG3btl30TfXUqVNx7tw5vPjii+jWrRsee+yxavdTKBTQarVVpibV9s1Ramoq3nnnHcyZM8cbjPHkk09i4sSJWLNmTZXYbiEEMjIyYLFYYLPZfN7oVkzpGzp0KJRKJTZs2ICYmJhq77di6tH27dt9piYdPXoUHTt2hBACL730Eh577DHverFly5ahffv2NR7zcjidTrz66qtYtGgRgoKC8Oabb0KWZSQmJiI1NRVTpkzB008/jR9//BFPPfUUevbsiUceeQSvv/46HnroITz++OM4evQo4uLioNVqYbVaodfr0b17d7hcLuj1epw7dw67d+/G6NGj4XA4sHXrVvzjH/+47FpbtWrlk2jXt29f/O9//4Msy9Wuj6vO3/72N9hsNnzyyScAPE1IRUN44cclS5bg/fffx9dff42mTZv6HOfcuXMYN24cHn74Ybz55ps+1xUUFKB379544403MH36dJ/rMjMzcffdd+PgwYP45ptvvKEh1UlISMBPP/2Em266Cffeey+WLFlS7X4V65wqv/ZrSvKrUDG9tMLKlStrtV6topF68803vY97/vz5+OKLL7Bu3ToAnpMVHzlyBK+99hpee+01AJ7pd3a7HatWrcINN9wAwBMS07p1a6xduxa9e/eGUqnElClTvN9LSZKQmJiIn376CVu3bsW4ceN8ajGZTNWGR1RW0xTYiumFFRg0QdR4cUSKiOqkFi1aQJIkHD582Gd7586dcdNNN2Hfvn21Gpl44YUX8N577+H//u//atzH7XbDbrf7/PUZgM+5p2piMpkwceJEdO3a1eeN7x133IFu3bph8uTJ3tS9Cna7Hd27d8eqVavw7rvvIjo62nupOO+NSqXCo48+etHEQpfLBQCIjo6GQqHwXjp27AjAs65j69at3iYqIyMDEydOrDIS880332DlypU1jgDWRK1Wo0ePHnj11VeRnp6OVatW4auvvsLkyZORk5ODKVOm4P7778fDDz+Mr7/+Go8++ij279+P9u3bo2fPnpAkCd26dYPb7ca3336L1q1bo6ioCCaTCRMmTMAtt9wCtVqNAQMGIDQ0FC+++CLS09Nx3XXXXVadAKo0S0ql0rsWprZ69eqFxYsXY+fOnd5jVn7jXvnjW2+9hdLS0mq/f7Nnz0ZAQACee+65KteFh4dj7ty5ePzxx6sEWkRFRSEmJgZ79+69aBNVYdiwYfjyyy/x7rvv1rhPRcR/5de+y+Wq1Wu/wqJFizBixAhs3boV4eHh2L9/P+644w5MmzYNy5YtQ3h4uPc5q8xut6O0tBTnzp3D22+/jR9//BF6vR75+fneWvbu3YuQkBDce++9SExM9Ll9QEAAli1bhujoaJw8eRJdunTxuX7ChAn49NNPsXfvXkycONHnuuDgYJw9exZ2u907wvj0008jOjoas2bNQu/evbFw4ULExMSguLgYQghYrVbk5eVVWWu1YcMGJCQk1Pr5IqIGxE9TComILunRRx8Vzz//fK32vXCN1MVcuEZq6NCh1a4TWbVqlRCi5jVSdrtd3HTTTSI4OFhkZGRUuZ/169cLSZJETEyMOHXqlM91VqvV+3lhYaFo2bKlmD9/vrjnnnvEE0884bNvdWukKhQVFXk/ByB++uknkZubW6XWQ4cOiTZt2ojBgwcLi8UihBDi+PHjAoCYOnWquOOOO0SzZs2qrJGq/HxUt0bqQrm5uWLx4sVi5MiRQqPRiHvvvVccO3ZM5ObmioEDB4q33nqrym1kWRY9e/YUPXr0EAsWLBCrVq0SOp1OHDx40LvP3LlzBQAxfvz4Gu+7Ji+99JKQJEmcOHHCu+2ee+4R7du3v6zjuN1u0bNnT+/jDwsLE5988okQwrMuCYDIysoSn332mQAgtm7dWuUYGRkZQqvVii+++MK77ciRIwKAOHPmjHfb/fffL5o0aSKOHz9+ybouXCN1MReukZo1a1a1r/2ZM2cKIaqukaqwb98+oVQqxerVq0V0dLR45513vM9Ljx49xMqVK8WiRYu8369BgwaJjz76SAghRL9+/URgYKCQJEkEBQWJZs2aiWeeeUZs2LBB5Obmih9//FHIsizy8vJEhw4dxLRp02p8PGvWrBFKpVL07dtXGAwGsXHjxirPa2Ji4kWfk5KSEnHvvfeKsLAwsWfPHu8aKbfbLW688UbRo0cPsX///mpvW1RUJEJCQkRBQcFF74OIGiaOSBFRnfXEE09g/vz5PifzrEl10cS1tWTJEuTn51e5XOycVCUlJRg7dix++eUXfPvtt9VOlRs6dCjeeOMNZGZmon///li+fLn3Op1OBwAwm83461//ilatWuGBBx64rLotFguGDRuG2bNn+2yvWFdUYceOHRgyZAi6dOmCVatWeWOx7XY7AM/0qvnz52POnDk+a8neeust71/rhRAYPHhwjbWsXbsWTZo0QatWrfD222/juuuuQ3Z2NhYsWIBffvkFcXFxOHPmTLXTpRQKBVauXIl//OMfWLVqFW688UZIkoSvv/4aRUVFAH4/34/b7faOxF2uCRMmYM2aNfj3v/+Nr7766rLjqiVJwqxZs5CcnFxjUqEQAq+//jruvfdeDBw40Oc6u92Oe+65B0OHDsVdd9110ft677330KJFC/z1r3/1fp9q8mde+08++WS1r/3anDoA8KxneuaZZ3ymArrdbsiyDIfDUW1tb731Fnbs2AGr1YrZs2ejQ4cOeOONN5CUlIT09HQ8++yz6NWrF4YPH45evXrVOKK2ZMkSjBkzBi+++CK2bt2KwYMHe0d0U1JScOONNyI2NhY7duyochJowBNH//rrr6Ndu3ZIS0vDjh070KtXL+/1kiThp59+Qv/+/REfH4/Ro0fj008/9Tnv23PPPYdJkyZ50yWJqHFhI0VEdVZUVBT+8Y9/4M4774TVar3ovhXxyH9EcHAwwsPDq1wqQgAufDO4evVqxMfHY926dfj0008xcuTIGo89c+ZMzJo1C6dPn8bYsWOxfft273X79+9HYmIi8vLysGLFihrXmVQ3/aywsBA33ngjwsLCMG3aNG+EtEqlwsKFC3Hw4EEUFhbi9ddfx5AhQzB27FgsX77cZ31LZGQk1qxZAwDe6VOVY9crO3fuHDZv3oz09PRq6xw+fDj+97//IT8/H6mpqRg3bhw++ugjdOjQAW+//TZmz56NQ4cO1Rh40bx5c0RFReHQoUO4/fbb8fXXX2P79u04c+YMHnvsMbz00ktYsGABfvvtN9x+++3ex1tbXbt2xZAhQ/DXv/4V//73v/H8889XWYN0MdnZ2di3bx/atWuHpUuXegMJzpw5g4MHDyIrKwuAJ3hh/vz5mDJlCtLS0rB7927vc/rtt9/i0KFDWLBggc+xq2uU9Ho9vv76aygUCpw+ffqitVXc/o+8/g0GQ7Wv/YrzLdXUpMmyDCEE/vnPf1b5nmq1WgghoFAovA1G5eMMHjwYMTEx0Gg03qmFFUaMGIH9+/fj4YcfRl5eHoqKinDs2DGf49tsNtxzzz245ZZbMHPmTLz44otQqVT44Ycf8PLLL+OZZ55B37590bt3byQnJ+Ojjz7C/fffj0mTJnkbYIvFgl69emHhwoV4/fXXsXv3bu8aOpfL5f2eabVaLFiwADt27IDBYMC0adNQVlYGAPjpp5+wdOlSvPrqq5f9vBNRA+G/wTAiokuTZVlMnDhRvPTSSxfd74MPPhAAqkSdV2fBggWiNj/+8vLyxJ133inat28vVCqVcLvdQgghkpOTRUREhDcevTYWL14snn32WSGEJ/77rrvuEmq1WowbN06UlJSIkydPisWLF4sOHTp497PZbOLVV18VY8eOFcHBwd74ZyE8EdDPPfecsNvtIiUlRQQHBwu9Xu+dClZYWCi6dOkigoKCxOLFi2td58mTJ71T+yo7f/686NChgxg2bJhYt26dz3XHjh0T//nPf8TMmTPFmDFjROvWrUVAQIC47bbbxPLly33qvpDNZhOzZ88WvXv3Fi1btvSJaP/uu+9EVFSU6NKli0hNTRVCCLFhwwYREhIi2rVrJ86ePVvrx/VnTZs2Tej1ehEYGCiCg4NrdQkICBBqtdob+y6EEKdPn/b5/MYbbxTt2rUTRqPRZ7pnhdq8njMzM32m613MoUOHar3vo48+Kvr37y8AiE2bNvlct2vXLp//b/Pmzat2ymdZWZn4y1/+IhQKhXcaZGX/+te/RM+ePau9/4KCAjF58mTRtm1bb1x+hcWLF4tPP/3UZ1tKSooIDQ0VoaGh3mmEFb744gthNBrFjTfe6H09HjhwoNpTGrz88suic+fO1dZkMpmEEEIUFxeLFi1aiD179lS7HxE1DmykiKjOs9vt3jcwV8KcOXNq1UgJIUSHDh1Ey5YtxXPPPeezvbi4+E/V8MMPP4hvvvnG+3VRUZF3rceBAwe828eOHStiYmLE0qVLazyW2+0WCxcuFLm5uT7bP/nkE5838VeLy+USt9xyi7jrrrvEG2+8ITZt2uQ9v09tzJs3T/z3v/+t0kikpKSIOXPmVHkTfeLECfG///3vitTub1OnThXTpk0TaWlp1+T+duzYUetG6oEHHhAhISHilltuEWaz2ee67du3i+DgYO/3pqZGSgghhg8fLrp16yays7P/UM0Xno/rYn7++eca1yudOHFC5OXl/aEaqlPd+b2IqHFRCHGRk6sQETVyLperVtHOV4LFYoHBYPDZZrPZvOupiK6lK/Xar+51TUTUENS5NVI///wz2rVrB5VKhfj4eBw4cACAZy1Bnz59EBoaiieffPKiJ9ckIrpSrlUTBaDaN5tsoshfrtRrn00UETVUdaqROnbsGO677z7MmTMHp0+fRqdOnfDggw/Cbrdj9OjR3oWjmZmZ1SbwEBERERERXQt1amrf8uXLkZubi4ceeggAsH79eowaNQpfffUV7r//fuTk5MBgMCA1NRWPPPIItmzZ4ueKiYiIiIioMbp2c1Zq4eabb/b5+tChQ+jYsSNSU1PRv39/7/SAHj16IDMz0x8lEhERERER1a1GqjKHw4G3334bjz/+OI4ePYro6GjvdQqFAkqlEkVFRdWe3NFut/ucl0OWZZw/fx5hYWFQKBTXpH4iIiIiIqp7hBAoKytDy5YtIUl/fKVTnW2kXnrpJRiNRjz44IN4/vnnodVqfa7X6XSwWCzVNlKzZ8/Gyy+/fK1KJSIiIiKieubUqVNo3br1H759nWykfvvtN7z//vvYsWMH1Go1mjRpgv379/vsU1ZWBo1GU+3tn3nmGTz++OPer0tKStCmTRucOnUKQUFBV7V2IiJqnGRZYPN3h3F411lISgX6jopC96GR/i6LiIguUFpaisjISAQGBv6p49S5RiorKwt33nkn3n//fcTExAAA+vTpg48++shnH7vdjiZNmlR7DK1WW2UECwCCgoLYSBER0RXncrqxZlEmTqaWIdAYgKF3dUGnvs39XRYREV3En13yU6fiz61WK26++WaMHTsWt9xyC0wmE0wmE4YMGYLS0lJ88sknAIA33ngDw4cPh1Kp9HPFRETU2DmsLiyfl4rjKfnQ6FS44aHubKKIiBqBOhV//vPPP2PcuHFVtmdlZSEtLQ133nkn9Ho9JEnChg0bvCNWl1JaWorg4GCUlJRwRIqIiK4Ya5kDy+alIv9kGfSBaox6pAeaRQX7uywiIrqIK9Ub1KlG6lLy8vKwZ88e9O/fH2FhYbW+HRspIiK60koLrVj2bgqKz1kR2ESH0dPjENrc6O+yiIjoEq5Ub1Dn1khdTPPmzTFq1Ch/l0FERI1cYa4Jy+amwlxsR2gLA8ZMj0dAqM7fZRER0TVUrxopIiIifztztBgr56fDZnKiWVQQbp4WB51R7e+yiIjoGmMjRUREVEtZaflY+99MOGxuRMY0wY1Tu0OtZfAREVFjxEaKiIioFg5sy8Wmbw7D7ZTRIaEpht8bA6WqToXfEhHRNcRGioiI6CKEENj76wnsXpYNWRaITWqFxNs7QSH9ufOPEBFR/cZGioiIqAZCFtj641Gkr88BFECfUVFIuCnqT5/EkYiI6j82UkRERNVwu2Ws//wgDu/Kg6SUMPi2DuiW2NrfZRERUR3BRoqIiOgCTocbv3y0Hyf2F0KtUWLYPV3RvldTf5dFRER1CBspIiKiSuwWJ1a8n4Yzx0qgNahww9RuaN25ib/LIiKiOoaNFBERUTlziR3L5qag8LQZhiANbp7WAxGRf/ys90RE1HCxkSIiIgJQkm/B0ndTUFpgQ1C4DmNmxCM4wuDvsoiIqI5iI0VERI1e/qlSLJ+XBkupA2GtjBgzoycMQRp/l0VERHUYGykiImrUcg6dx+oF+2G3uNCifTBGPRoHrZ6/HomI6OL4m4KIiBqtY/vOYd2nB+B0uNG2exhGTukGtUbp77KIiKgeYCNFRESNUvrGHGz9/ihkt4zO/ZrjusldoFRK/i6LiIjqCTZSRETUqAghkLwyC8mrTgAC6HFdJAbd2gEKSeHv0oiIqB5hI0VERI2GkAU2fXcYGZtyIUkK9B0TjZ4j2kChYBNFRESXh40UERE1Cm6XjLWfZuLYnnNQqiUkTuiErgNb+rssIiKqp9hIERFRg+e0u7FqQTpOZZ6HRqfE8PtjEN0jwt9lERFRPcZGioiIGjSb2Ynl81JxNrsUugA1bvpbd7RoH+LvsoiIqJ5jI0VERA2WqciGpXNTUHTGAmOIFqOnxyGsZYC/yyIiogaAjRQRETVIRXlmLJ2bCtN5G0Ka6jF6RjyCwvT+LouIiBoINlJERNTgnM0uwYr302AtcyKiTSBGT4uDPlDj77KIiKgBYSNFREQNysmMQvzycQYcVhdadQrBTQ/3gEbHX3dERHRl8TcLERE1GId35WHDlwfhdMhoFx+BEQ/EQqmW/F0WERE1QGykiIioQUhddxLblxyH7BaIGdQSSRM7Q5J4ol0iIro62EgREVG9JoTAjp+PI2XNSQBArxFt0G9sOygUbKKIiOjqYSNFRET1liwLbPjyIA5uz4OkVGDAuHaIG9bG32UREVEjwEaKiIjqJZfTjTWLMnE8NR9qjYShd3VBp77N/V0WERE1EmykiIio3nFYXVgydw/ys0zQ6NUY+WAs2sSG+bssIiJqRNhIERFRvXLsUDaWvLMXWjkYKh0wZkYcmkUF+7ssIiJqZNhIERFRvXD8+HG8PWcuwst6oWlwa9jkMtz1zHCENjf6uzQiImqEeHINIiKq0zIzMzF58mQM6TscLSz90TS4NfKKT2L0Y93ZRBERkd+wkSIiojpp3759+Otf/4pu3bph66/7MG3UWwgxRiDrbCaM3fPRKbadv0skIqJGjFP7iIioTtm2bRtef/11rFy5EgAQ26Yf7r3+WWg1BhzIScaG419g37d7/FwlERE1dmykiIioTtiwYQNeeeUVrF+/3rutX6cRuH3wdKiVGuw9tgGfr/8nVq5aAY1G48dKiYiIOLWPiIjqiE6dOmHEiBHo2LEjAGBY3O2YMOTvUElqbMpcisXr3sDYcWMwYsQIP1dKREQEKIQQwt9FXG2lpaUIDg5GSUkJgoKC/F0OERFdxC+//IqPXvkZQ2LGQAiBX/Z9gdV7v4Rer8fBgwfRpk0bf5dIRET12JXqDTi1j4iI6gy3W0bK8rNIjB0Ht9uJH7Z/iK0HlgMAnnvuOTZRRERUZ3BqHxER1QlOhxur5qcjwNUKULjx64FPUaY+CQDo0KED/vGPf/i5QiIiot+xkSIiIr+zW5xY9m4KTqQXQqtXYez03vh86QeYMGECAGDu3LnQarV+rpKIiOh3nNpHRER+ZS6xY9ncFBSeNsMQpMHN03ogItIzZ/3GG2/Ezp07ceONN/q5SiIiIl9spIiIyG9K8i1Y+m4KSgtsCArXYcyMeARHGLzXx8XF4f333/djhURERNVjI0VERH6Rf6oUy+elwVLqQFgrI8bM6AlDkO/5oRQKBVq1auWnComIiGrGRoqIiK65nEPnsXrBftgtLrRoH4xRj8ZBq+evJCIiqj/4W4uIiK6pY/vOYd2nB+B0uNG2exhGTukGtUbp77KIiIguCxspIiK6ZtI35mDr90chu2V07tcc103uAqWSAbJERFT/sJEiIqKrTgiB5JVZSF51AhBAj+siMejWDlBICn+XRkRE9IewkSIioqtKyAKbvjuMjE25kCQF+o6JRs8RbaBQsIkiIqL6i40UERFdNW6XjLWfZuLYnnNQqiUkTuiErgNb+rssIiKiP42NFBERXRVOuxurFqTjVOZ5aHRKDL8/BtE9IvxdFhER0RXBRoqIiK44m9mJ5fNScTa7FLoANW76W3e0aB/i77KIiIiuGDZSRER0RZmKbFg6NwVFZywwhmgxenocwloG+LssIiKiK4qNFBERXTFFeWYsnZsK03kbQprqMXpGPILC9P4ui4iI6IpjI0VERFfE2ewSrHg/DdYyJyLaBGL0tDjoAzX+LouIiOiqYCNFRER/2smMQvzycQYcVhdadQrBTQ/3gEbHXzFERNRw8bccERH9KYd35WHDlwfhdMhoFx+BEQ/EQqmW/F0WERHRVcVGioiI/rDUdSexfclxyG6BmEEtkTSxMySJJ9olIqKGj40UERFdNiEEdvx8HClrTgIAeo1og35j20GhYBNFRESNAxspIiK6LLIssOHLgzi4PQ+SUoEB49ohblgbf5dFRER0TbGRIiKiWnM53VizKBPHU/Oh1kgYelcXdOrb3N9lERERXXNspIiIqFYcVhdWfpiG04eLodGrMPLBWLSJDfN3WURERH7BRoqIiC7JWubAsnmpyD9ZBn2gGqMe6YFmUcH+LouIiMhv2EgREdFFlRZasezdFBSfsyKwiQ6jp8chtLnR32URERH5FRspIiKqUWGuCcvmpsJcbEdoCwPGTI9HQKjO32URERH5HRspIiKq1pmjxVg5Px02kxPNooJw87Q46Ixqf5dFRERUJ9TJU88XFBQgOjoa2dnZ3m3Tp0+HQqHwXjp06OC/AomIGristHwsfy8VNpMTkTFNMPbvPdlEERERVVLnRqQKCgpw8803+zRRAJCcnIwVK1Zg4MCBAAClUumH6oiIGr4D23Kx6ZvDcDtldEhoiuH3xkCpqpN/dyMiIvKbOvebccKECZg4caLPNpfLhYyMDCQmJiIkJAQhISEIDAz0U4VERA2TEAJ7fsnGxq8Ow+0SiE1qhRH3x7KJIiIiqkad++340UcfYfr06T7b0tPTIcsy4uPjodfrccMNN+DkyZN+qpCIqOERssDWH45i19IsCAj0GRWFxDs6QSEp/F0aERFRnVTnGqno6Ogq2zIzM9G5c2d8/vnnSEtLg0qlwkMPPVTjMex2O0pLS30uRERUPbdbxrrPDiDtt1NQSAoMub0j+oyKhkLBJoqIiKgmCiGE8HcR1VEoFMjKykJUVFSV606ePIno6GgUFRUhKCioyvWzZs3Cyy+/XGV7SUlJtfsTETVWTocbv3y0Hyf2F0KtUWLYPV3RvldTf5dFRER01ZSWliI4OPhP9wZ1bkSqNpo2bQpZlnHmzJlqr3/mmWdQUlLivZw6deoaV0hEVPfZLU4sezcFJ9ILodWrcNPD3dlEERER1VKdS+2rzpNPPomePXt6Qyi2b98OSZIQGRlZ7f5arRZarfZalkhEVK+YS+xYNjcFhafNMARpcPO0HoiI5Ig9ERFRbdWLRiouLg7PP/88mjVrBrfbjWnTpuHuu++GwWDwd2lERPVOSb4FS99NQWmBDUHhOoyZEY/gCP48JSIiuhz1opGaNGkSMjIycOutt0KpVGLSpEl44403/F0WEVG9k3+qFMvnpcFS6kBYKyPGzOgJQ5DG32URERHVO3U2bOJKulILyoiI6rOcQ+exesF+2C0utGgfjFGPxkGrrxd/TyMiIrpirlRvwN+gRESNwLF957Du0wNwOtxo2z0MI6d0g1qj9HdZRERE9RYbKSKiBi59Yw62fn8UsltG537Ncd3kLlAq62VoKxERUZ3BRoqIqIESQiB5ZRaSV50ABNDjukgMurUDFBJPtEtERPRnsZEiImqAhCyw6bvDyNiUC0lSoO+YaPQc0QYKBZsoIiKiK4GNFBFRA+N2yVj7aSaO7TkHpVpC4oRO6Dqwpb/LIiIialDYSBERNSBOuxurFqTjVOZ5aHRKDL8/BtE9IvxdFhERUYPDRoqIqIGwmZ1YPi8VZ7NLoQtQ46a/dUeL9iH+LouIiKhBYiNFRNQAmIpsWDo3BUVnLDCGaDF6ehzCWgb4uywiIqIGi40UEVE9V5RnxtK5qTCdtyGkqR6jZ8QjKEzv77KIiIgaNDZSRET12NnsEqx4Pw3WMici2gRi9LQ46AM1/i6LiIiowWMjRURUT53MKMQvH2fAYXWhVacQ3PRwD2h0/LFORER0LfA3LhFRPXR4Vx42fHkQToeMdvERGPFALJRqyd9lERERNRpspIiI6pnUdSexfclxyG6BmEEtkTSxMySJJ9olIiK6lthIERHVE0II7Pj5OFLWnAQA9BrRBv3GtoNCwSaKiIjoWmMjRURUD8iywIYvD+Lg9jxISgUGjGuHuGFt/F0WERFRo8VGioiojnM53VizKBPHU/Oh1kgYelcXdOrb3N9lERERNWpspIiI6jCH1YWVH6bh9OFiaPQqjHwwFm1iw/xdFhERUaPHRoqIqI6yljmwbF4q8k+WQR+oxqhHeqBZVLC/yyIiIiKwkSIiqpNKC61Y9m4Kis9ZEdhEh9HT4xDa3OjvsoiIiKgcGykiojqmMNeEZXNTYS62I7SFAWOmxyMgVOfvsoiIiKgSNlJERHXImaPFWDk/HTaTE82ignDztDjojGp/l0VEREQXYCNFRFRHZKXlY+1/M+GwuREZ0wQ3Tu0OtVbp77KIiIioGmykiIjqgAPbcrHpm8NwO2V0SGiK4ffGQKmS/F0WERER1YCNFBGRHwkhsPfXE9i9LBuyLBCb1AqJt3eCQlL4uzQiIiK6CDZSRER+ImSBrT8eRfr6HEAB9BkVhYSboqBQsIkiIiKq69hIERH5gdstY/3nB3F4Vx4kpYTBt3VAt8TW/i6LiIiIaomNFBHRNeZ0uPHLR/txYn8h1Bolht3TFe17NfV3WURERHQZ2EgREV1DdosTK95Pw5ljJdAaVLhhaje07tzE32URERHRZWIjRUR0jZhL7Fg2NwWFp80wBGlw87QeiIgM8ndZRERE9AewkSIiugZK8i1Y+m4KSgtsCArXYcyMeARHGPxdFhEREf1BbKSIiK6y/FOlWD4vDZZSB8JaGTFmRk8YgjT+LouIiIj+BDZSRERXUc6h81i9YD/sFhdatA/GqEfjoNXzRy8REVF9x9/mRERXybF957Du0wNwOtxo2z0MI6d0g1qj9HdZREREdAWwkSIiugrSN+Zg6/dHIbtldO7XHNdN7gKlUvJ3WURERHSFsJEiIrqChBBIXpmF5FUnAAH0uC4Sg27tAIWk8HdpREREdAWxkSIiukKELLDpu8PI2JQLSVKg75ho9BzRBgoFmygiIqKGho0UEdEV4HbJWPtpJo7tOQelWkLihE7oOrClv8siIiKiq4SNFBHRn+S0u7FqQTpOZZ6HRqfE8PtjEN0jwt9lERER0VXERoqI6E+wmZ1YPi8VZ7NLoQtQ46a/dUeL9iH+LouIiIiuMjZSRER/kKnIhqVzU1B0xgJjiBajp8chrGWAv8siIiKia4CNFBHRH1CUZ8bSuakwnbchpKkeo2fEIyhM7++yiIiI6BphI0VEdJnOZpdgxftpsJY5EdEmEKOnxUEfqPF3WURERHQNsZEiIroMJzMK8cvHGXBYXWjVKQQ3PdwDGh1/lBIRETU2/O1PRFRLh3flYcOXB+F0yGgXH4ERD8RCqZb8XRYRERH5ARspIqJaSF13EtuXHIfsFogZ1BJJEztDkniiXSIiosaKjRQR0UUIIbDj5+NIWXMSANBrRBv0G9sOCgWbKCIiosaMjRQRUQ1kWWDDlwdxcHseJKUCA8a1Q9ywNv4ui4iIiOoANlJERNVwOd1YsygTx1PzodZIGHpXF3Tq29zfZREREVEdwUaKiOgCDqsLKz9Mw+nDxdDoVRj5YCzaxIb5uywiIiKqQ9hIERFVYi1zYNm8VOSfLIM+UI1Rj/RAs6hgf5dFREREdQwbKSKicqWFVix7NwXF56wIbKLD6OlxCG1u9HdZREREVAexkSIiAlCYa8KyuakwF9sR2sKAMdPjERCq83dZREREVEexkSKiRu/M0WKsnJ8Om8mJZlFBuHlaHHRGtb/LIiIiojqMjRQRNWpZaflY+99MOGxuRMY0wY1Tu0OtVfq7LCIiIqrj2EgRUaN1YFsuNn1zGG6njA4JTTH83hgoVZK/yyIiIqJ6gI0UETU6Qgjs/fUEdi/LhiwLxCa1QuLtnaCQFP4ujYiIiOoJNlJE1KgIWWDrj0eRvj4HUAB9RkUh4aYoKBRsooiIiKj22EgRUaPhdstY//lBHN6VB0kpYfBtHdAtsbW/yyIiIqJ6iI0UETUKTocbv3y0Hyf2F0KtUWLYPV3RvldTf5dFRERE9RQbKSJq8OwWJ1a8n4Yzx0qgNahww9RuaN25ib/LIiIionqMjRQRNWjmEjuWzU1B4WkzDEEa3DytByIig/xdFhEREdVzbKSIqMEqybdg6bspKC2wIShchzEz4hEcYfB3WURERNQAsJEiogYp/1Qpls9Lg6XUgbBWRoyZ0ROGII2/yyIiIqIGgo0UETU4OYfOY/WC/bBbXGjRPhijHo2DVs8fd0RERHTl8J0FETUox/aew7rFB+B0uNG2exhGTukGtUbp77KIiIiogWEjRUQNRvrGHGz9/ihkt4zO/ZrjusldoFRK/i6LiIiIGqA6+Q6joKAA0dHRyM7O9m7bv38/+vTpg9DQUDz55JMQQvivQCKqU4QQ2L3iOLb87wiELNDjukgMu7srmygiIiK6aurcu4yCggLcfPPNPk2U3W7H6NGj0bt3byQnJyMzMxOffvqp32okorpDyAKbvjmM3StOQAEF+o1ph0F/7QCFpPB3aURERNSA1blGasKECZg4caLPtlWrVqGkpAT//ve/0b59e7zxxhtYtGiRnyokorrC7ZLx66IMZGw6DaVKgaSJndBrZFsoFGyiiIiI6Oqqc43URx99hOnTp/tsS01NRf/+/WEweM7/0qNHD2RmZvqjPCKqI5x2N1a8n4aje85BrVVixIOx6Dqwpb/LIiIiokaizoVNREdHV9lWWlrqs12hUECpVKKoqAihoaFV9rfb7bDb7T63J6KGw2Z2Yvm8VJzNLoUuQI2b/tYdLdqH+LssIiIiquNc58/DtH37FTlWnWukqqNSqaDVan226XQ6WCyWahup2bNn4+WXX75W5RHRNWQqsmHp3BQUnbHAGKLF6OlxCGsZ4O+yiIiIqI4RQsCVlwfrvn0wbdwIa1oaXGfPodRkuiLHrxeNVJMmTbB//36fbWVlZdBoNNXu/8wzz+Dxxx/3fl1aWorIyMirWiMRXX1FeWYsnZsK03kbQprqMXpGPILC9P4ui4iIiOoAIctwnDgBS/IemDdtgjUjA+6iIgir1bODUgnJaISmUyfgyOE/fX/1opHq06cPPvroI+/XWVlZsNvtaNKkSbX7a7XaKiNYRFS/nc0uwYr302AtcyKiTSBGT4uDPrD6P6YQERFRwyecTtiPH4d5+3aYt26D/dAhuEtKICqW+KhUUAYEQNOlCwz9+sE4ZDD0XbvC5HIBwcF/+v7rRSOVmJiI0tJSfPLJJ7jvvvvwxhtvYPjw4VAqlf4ujYiugZMZhfjl4ww4rC606hSCmx7uAY2uXvz4IiIioitEttlgO3QI5i1bYNmxE/ZjxyCXlUE4nQAAhUYDKSgI2l49YRw4CMYBA6Dr1BGKC2exXaH8hHrxTkSlUuHjjz/GnXfeiSeffBKSJGHDhg3+LouIroHDu/Kw/ouDcDlltIuPwIgHYqFU17nAUSIiIrrC3CYTbBkZMG3YCEtyMhwnT0I2mwGXCwCg0OmgDAuDLiYGxsGDYezXF5qoKCiu0WBLnW2khBA+X48ZMwbHjh3Dnj170L9/f4SFhfmpMiK6VlLXncT2JcchuwViBrVE0sTOkHiiXSIiogbJVVgIa1qaJxhi7z44c3MhWyyALAMKBRR6PdQtW0LfvTuMiYkw9O4FdatWfjt/ZJ1tpKrTvHlzjBo1yt9lENFVJoTAjp+PI2XNSQBArxFt0G9sO55ol4iIqIEQQsB15gwsFYl6qWlw5+dDtloBIQBJgqTXQ9MuGoaePWFMSoK+Rw+omzb1d+le9aqRIqKGT5YFNnx5EAe350FSKjBgXDvEDWvj77KIiIjoT/g9US8Zpo2bYMvMhPv8eQibzbNDeaKeNiYGht69ETA0CfrYWCivQCjE1cJGiojqDJfTjTWLMnE8NR9qjYShd3VBp77N/V0WERERXSbhcPgk6tkOHYJcWvp7op5a7UnUi4mBoV8/BAwZAl2XzpAMBv8WfhnYSBFRneCwurDywzScPlwMjV6FkQ/Gok0s10ISERHVB7LV6knU27wF5h074Dh+HLLJVCVRT5fQG8YBA2AcNAja9u2rJurVI2ykiMjvrGUOLJuXivyTZdAHqjHqkR5oFlV3h/KJiIgaO3dZGWwZGSjbsAHW5D2/J+q53QDKE/XCw6GL6YqAIUNg6NsXmrZtr1mi3rXARoqI/Kq00Iql76ag5JwVgU10GD09DqHNjf4ui4iIiCpxFRTAmpYO04YNsO7bB+eZM1UT9Vq3gr57DxiTEmHs1Quqli0bdFAUGyki8pvCXBOWzU2FudiO0BYGjJkej4BQnb/LIiIiatSEEHDl5sK8dx/MGzfCmp5eNVHPYIC2fXvo4+MRcN1Q6Hv0gCo83N+lX1NspIjIL84cLcbK+emwmZxoFhWEm6fFQWdU+7ssIiKiRkfIMhzZJ2DZtQumzZs9iXpFRVUS9XSxMdAnJCAgMQn6brFQBgX5t3A/YyNFRNdcVlo+1v43Ew6bG5ExTXDj1O5QaxvOnGkiIqK6TDgcsB87BvO27TBv2wrb4SM+iXoKtRpSQAA0sbEw9u8H4+DyRD293s+V1y1spIjomjqwLRebvjkMt1NGh4SmGH5vDJQqyd9lERERNViy1QrbwUMwbdoEy65dcBw/DrfJBFQk6mm1nkS9Tp1gHDQQxoEDoW3Xrl4n6l0LbKSI6JoQQmDvLyewe3k2ZFkgNqkVEm/vBIXUcBehEhER+YO7pATWjAyYNm6CJTkZzlOnqiTqqcLDoYuNRUDiEBgS+kAT1RYKiX/YvBxspIjoqhOywNYfjiJ9Qw6gAPqMikLCTVENOsmHiIjoWnHl58OSlgbzho2wpOyD60yeT6KepNdD3bo19D16ICApCYZePaFq0YK/h/8kNlJEdFW53TLWf3YAh3efhaSUMPi2DuiW2NrfZREREdVLQgg4T+fCsncPzJs2wZqWDldBAUR1iXq9eyEgKcmTqBfGk9xfaWykiOiqcTrc+OWj/TixvxBqjRLD7umK9r2a+rssIiKiekO43XBkZ8O8axfMm7fAdiAT7qLiKol62m7dYEhIQEBSInSxsVAGBvq38EaAjRQRXRV2ixPL309D3rESaA0q3DC1G1p3buLvsoiIiOo04XDAfvQozNu2wbxt2++Jeg4HgEqJet26eRL1hgyBrlMnJur5ARspIrrizCV2LJubgsLTZhiCNLh5Wg9ERDbuc00QERFVR7ZYYD14EObNm2HZsROOrCy4zWbfRL3gYOg6d4Zx8CAYBwyANjqaiXp1ABspIrqiSvItWPpuCkoLbAgK12HMjHgERxj8XRYREVGd4C4u9k3Uy8nxTdTT66GKiIA+NhbGxCEwJCRA05aJenURGykiumLyT5Vi+bw0WEodCGtlxJgZPWEI4l/MiIio8XKeOwdraipMGzfCui8Frrw8yFarT6KeJjISuh49EDg0Cfr4eCbq1RNspIjoisg5dB6rF+yH3eJCi/bBGPVoHLR6/oghIqLGQwgBZ04OLHv3wbxxA6zp++EqLKyaqNehA/S9eiFgaBL03bszUa+e4rscIvrTju09h3WLD8DpcKNt9zCMnNINao3S32URERFdVcLthiMrq1Ki3gG4iysl6qlUnkS9Dh1g6JOAgMTyRL2AAP8WTlcEGyki+lPSN+Zg6/dHIbtldO7XHNdN7gKlkvO4iYio4ZEdDtgPH4F5+zaYt26D/ejRqol6gYHQdu8O44D+MAwaBF3nzpB0Oj9XTlcDGyki+kOEEEhemYXkVScAAfS4LhKDbu0AhcQ53URE1DDIZrMnUW/TJlh27oIjOxtukwlwuQB4EvWUISHQdukM46DBMPbvD227aCjUaj9XTtcCGykiumxCFtj07WFkbM6FJCnQd0w0eo5ow4WxRERUr7mLi2FNT/ck6u3Z40nUs1h8EvXUzZpBFxuLgPJEPXWbNkzUa6TYSBHRZXG7ZKz9JBPH9p6DUi0hcUIndB3Y0t9lERERXRYhBFzn8j2Jehs2wJqSAtfZs76JegYDNG3aQB8Xh4CkRE+iXvPm/MMhAWAjRUSXwWl3Y9X8dJw6cB4anRLD749BdI8If5dFRER0SUKW4Tx9GpbkZJg2boItYz9cBYWeYIiKRD2jEdpOHWHo1QsBSUnQde8OVZMm/i6d6ig2UkRUKzazE8vnpeJsdil0AWrc9LfuaNE+xN9lERERVUu4XJ5EvZ27YN5SnqhXUlI1Ua9TRxj69PUk6sV0ZaIe1RobKSK6JFORDUvnpqDojAXGEC1GT49DWEv+oiEiorrDk6h3GOat22DeVp6oV1b2e6KeRuNJ1OvRwzdRT6v1c+VUX7GRIqKLKsozY+ncVJjO2xDSVI/RM+IRFKb3d1lERNTIuU1m2A5kwrRpMyy7d8GZfaJqol5oKLRdusA4cCCMA/pD264dFCq+/aUrg68kIqrR2ewSrHg/DdYyJyLaBGL0tDjoAzX+LouIiBohV1ERbOn7Ydq4EZa9e6tP1Gve3JOol5QIQ+/eUEdGMlGPrho2UkRUrZMZhfjl4ww4rC606hSCmx7uAY2OPzKIiOjq8yTqnYM1JcWTqJea5knUs1g8wRAViXpt2/6eqNezJ1RNmzJRj64ZvisioioO78rD+i8OwuWU0S4+AiMeiIVSzb/oERHR1SFkGc5Tp2DZs6c8US8DrsJKiXpKJSSDAdouXWDo2RMBQ4dC170bVKGh/i6dGjE2UkTkI3XdSWxfchyyWyBmUEskTewMSeJf94iI6MoRLhfsx4/DvHMnzFu2wn7wINzFxRB2u2cHlQrKgACoO3cqT9QbAl3XGCgDjP4tnKgSNlJEBMAzjWLHz8eRsuYkAKDXiDboN7Ydp0gQEdGfJtvtsB06BMvWrTBv3wH7sWPVJ+rFx8M4cACMgwZB27EjE/WoTmMjRUSQZYENXx7Ewe15kJQKDBjXDnHD2vi7LCIiqqfcJhNsmQdg2rQJlt274Mg+Adls/j1RT6fzJuoFDBkCY7++0ERHM1GP6hW+WokaOZfTjTWLMnE8NR9qjYShd3VBp77N/V0WERHVI66iItjS0n5P1Dud62mcZBlQKKDQ6aBu0Ry62G6eRL2EBKhbtWKiHtVrbKSIGjGH1YWVH6bh9OFiaPQqjHwwFm1iw/xdFhER1WFCCLjy8jyJehs3wZqaCte5c78n6kkSJL0emqgo6OPjETA0Cfq4eKiaRnC6ODUobKSIGilrmQPL5qUi/2QZ9IFqjHqkB5pFBfu7LCIiqmOELMN58iQsyckwbdrsSdQ7fx7CavXsUDlRr3dvTxR59+5QhoT4tW6iq42NFFEjVFpoxdJ3U1ByzorAJjqMnh6H0OZMQiIiIkA4nbAfz4J5xw6Yt26B/eAhuEtKqiTqaTp3hqFfXxgTE6Hv0gWSkb9HqHFhI0XUyBTmmrBsbirMxXaEtjBgzPR4BITq/F0WERH5iWyzVZ+o53QCqJSo17MnjIMGwjhgILSdOkLSaPxcOZF/sZEiakTOHC3GyvnpsJmcaBYVhJunxUFnVPu7LCIiuobcJhNsGRnliXrJcJyoJlEvLAy6rl1hHDIYxr7liXpKpZ8rJ6pb2EgRNRJZaflY+99MOGxuRMY0wY1Tu0Ot5S9FIqKGzlVYCFt6Oso2bIR17144c3M9wRAViXp6PdQtWkDfvRuMSUNh6NWTiXpEtcBGiqgROLAtF5u+OQy3U0aHhKYYfm8MlCr+giQiamiEEHCdOQNrSgrKNmyELS3Nk6hntfom6kVHQ98zHgFJSdDHxUHdtKm/Syeqd9hIETVgQgjs/eUEdi/PhiwLxCa1QuLtnaCQGD9LRNQQCFmG48QJWJKTYd60GdaMDLiLinwT9YxGaLt2hSEhwZOoFxvLRD2iK4CNFFEDJWSBrT8cRfqGHEAB9BkVhYSbongODyKiesyTqHcc5u3bYd6yFbbDhyCXlP6eqKdWexL1unSBoX8/GAcPhr5rV0gGg38LJ2qA2EgRNUBut4z1nx3A4d1nISklDL6tA7oltvZ3WUREdJlkqxW2w4dh3rwZlh07PYl6JpNvol5QEHS9e8E4cCAMAwZA17EjFEzUI7rq2EgRNTBOhxu/fLQfJ/YXQq1RYtg9XdG+F+e+ExHVB+6yMk+i3sZNsCSXJ+pZLFUT9WJifk/Ui4pioh6RH7CRImpA7BYnlr+fhrxjJdAaVLhhaje07tzE32UREVENXIWFsKalwbRhA6z7UqpP1GvZEvru3WFMSoShVy9Poh6naRP5HRspogbCXGLHsrkpKDxthiFIg5un9UBEZJC/yyIionIViXqWvftg2rgR1rQ0uPPzfRP1DAZo2reDIb4njEmJ0PfowUQ9ojqKjRRRA1CSb8HSd1NQWmBDULgOY2bEIziCC4uJiPxJyDIc2SdgSd4N06bNsGVmwn3+PITN5tmhPFFPFxMDfeVEveBg/xZORLXCRoqonss/VYrl89JgKXUgrJURY2b0hCGIi4yJiK414XB4EvW2bYN56zbYDh+GXFpNol5sLAz9+iJg8BDounRmoh5RPcVGiqgeyzl0HqsX7Ifd4kKL9sEY9WgctHr+tyYiuhZkqxW2g4dg3rIF5h074Dh+3DdRT6uFFBgIXUICjAMHwDhwILTt2zNRj6iB4Dsuonrq2N5zWLf4AJwON9p2D8PIKd2g1jC1iYjoanGXlsKakQHTho2w7tkDx8mTkM1mwO0GUJ6oFx4OXUwMAoYMgaFvH2jatmWiHlEDxUaKqB5K35iDrd8fheyW0blfc1w3uQuUSsnfZRERNSiuggJYUtNg3lieqHfmjE+inqTXQ926FfTde8CYlARjr55QtWzJRD2iRoKNFFE9IoRA8sosJK86AQigx3WRGHRrBygk/tImIvozhBBwns6FZd8+mDduhDU9Da78AogLEvW07dtD3zMeAUOvg75Hd6jCw/1dOhH5CRsponpCyAKbvj2MjM25kCQF+o6JRs8RbfiXTyKiP8CTqJcNy67dMG0uT9QrKqqSqKeNjYWhTwKMieWJekE8rQQRebCRIqoH3C4Zaz/JxLG956BUS0ic0AldB7b0d1lERPWGcDhgP3oU5u3bYd62DbZDhyGXlXkT9RRqNaSAAGi6xcLYrz+MQwZD17kzJL3ez5UTUV3FRoqojnPa3Vg1Px2nDpyHRqfE8PtjEN0jwt9lERHVabLVCtuBgzBt3gzLzp1wZGXBbTIBlRP1goKg69QJxsGDYBwwANp27ZioR0S1xkaKqA6zmZ1YPi8VZ7NLoQtQ46a/dUeL9iH+LouIqM5xl5R4EvU2boIlORnOU6d8E/X0eqgiIqCLLU/U61OeqCcxqIeI/hg2UkR1lKnIhqVzU1B0xgJjiBajp8chrGWAv8siIqoTnOfOwZqWBvPGjbDsS4ErL69Kop4msjV03XsgICkJhl49oWrRgutKieiKYSNFVAcV5ZmxdG4qTOdtCGmqx+gZ8QgK4zx9ImqcPIl6p2HZuxfmjZtgTU+Hq6CaRL0OHaDv1RMBSUnQ9+gBVViYv0snogaMjRRRHXM2uwQr3k+DtcyJiDaBGD0tDvpAztknosZDuN1wZGfDvGsXzJu3eBL1iot/T9RTqTyNU7duMPRJQEBSEnQxMVAGBvq3cCJqVNhIEdUhJzMK8cvHGXBYXWjVKQQ3PdwDGh3/mxJRwyYcDtiOHIFl+3aYtm6D/cgRyKWlEA4HgPJEvcBAT+M0oD+MgwdD16kTE/WIyK/4Do2ojji8Kw/rvzgIl1NGu/gIjHggFko1F0ETUcMjWyywHjwI86ZKiXpms2+iXkgwdJ27wDho4O+Jemq1nysnIvodGymiOiB13UlsX3IcslsgZlBLJE3sDEnigmgiahjcxcW+iXo5OVUT9Zo2hT42BsYhQ2BISGCiHhHVeWykiPxICIEdPx9HypqTAIBeI9qg39h2TJUionpLCAHXuXxY01Jh2rAB1pRUT6Ke1fp7op7BAE1kJHQ9eiBwaBL08fFM1COieoeNFJGfyLLAhi8P4uD2PEhKBQaMa4e4YW38XRYR0WURQsCZk1OeqLcR1vT9cBUWVk3U69gB+l69EJiUBF337kzUI6J6r141UtOnT8e8efO8X7dv3x5Hjx71Y0VEf4zL6caaRZk4npoPtUbC0Lu6oFPf5v4ui4jokoTbDUdWlidRb9Nm2A4erJqoZzRC26GDJ1EvMRG62FgoA3gePCJqWOpVI5WcnIwVK1Zg4MCBAAClUunniogun8PqwsoP03D6cDE0ehVGPhiLNrH8yywR1U2ywwH74SMwb9sK87btsB896puop9FACgiAtnt3GAcOgGHgQOg6d4ak0/m5ciKiq6veNFIulwsZGRlITExEAP+qRfWUtcyBZfNSkX+yDPpANUY90gPNooL9XRYRkZdsNsN64ADMmzfDsnMXHNnZcJtMgMsFwJOopwwJgbZLFxgHDYKxf39o20UzUY+IGp1600ilp6dDlmXEx8fj9OnTSEpKwsKFC9GmDdeUUP1QWmjF0ndTUHLOisAmOoyeHofQ5kZ/l0VEjZy7uBjW9HSYNm6EZc9eT6KexeKTqKdu1gy62FgEJHoS9dRt2jBRj4gavXrTSGVmZqJz586YN28ewsPD8fe//x0PPfQQVq9eXWVfu90Ou93u/bq0tPRalkpURWGuCcvmpsJcbEdoCyPGTI9DQCinvRDRteVN1EtNgWnDRlhTUuA6e7Zqol6bNtDHxyEgMdGTqNe8ORP1iIguoBBCCH8X8UecPHkS0dHRKCoqQlBQkM91s2bNwssvv1zlNiUlJVX2Jbrazhwtxsr56bCZnGgWHYSbH42DzsgpMER09QlZ9iTq7dkD08aNsGVkwFVQ6AmGqEjUMxqhbtUKhl49EVCRqNekib9LJyK6akpLSxEcHPyne4N620jZbDbo9XocPHgQnTt39rmuuhGpyMhINlJ0zWWl5WPtfzPhsLkRGdMEN07tDrWWISlEdHUIl8uTqLdjJ0xbtsB+8CDcJSVVEvU0UW1h6NPXk6gX05WJekTUqFypRqreTO178skn0bNnT0ycOBEAsH37dkiShMjIyCr7arVaaLXaa10ikY8D23Kx6ZvDcDtldEhoiuH3xkCp4poCIrpyZLsdtsOHYdm27fdEvbIy30S9wEBo4+Jg7N8fhsGDoOvUCRJ/RxIR/Wn1ppGKi4vD888/j2bNmsHtdmPatGm4++67YTAY/F0akQ8hBPb+cgK7l2dDlgVik1oh8fZOUEhcX0BEf47bZIbtQCZMGzfBkrwbzuxsuE3m3xP1dDooQ0M9iXqDB8HYrx+07dpBoao3v+6JiOqNevOTddKkScjIyMCtt94KpVKJSZMm4Y033vB3WUQ+hCyw9YejSN+QAyiAPqOikHBTFBdpE9Ef4ioqgi2tPFFv7144T5/+PVFPoYBCp4O6eXPousUiIDEJhoTeULduzUQ9IqJroN6ukbocV2oeJNHFuN0y1n92AId3n4WklDD4tg7oltja32URUT0hhIDr7FlYU1Jg2rgR1tQ0T6KexeIJhihP1FM1awZ9XBwChiZ5EvWaNuUfa4iILkOjWyNFVJc5HW788tF+nNhfCLVGiWH3dkX7nk39XRYR1WFCluE8dQqW5GSYNm2GLWM/XIXnIaxWzw5KJSSDAdouXWDo3QsBiUnQde8GVWiofwsnIiIAbKSI/jS7xYnl76ch71gJtAYVbvi/bmjdidHBRORLuFywHzsO844dMG/dCvuhQ3AXF0NUpMyqVFAGBEDTuTP0fft4EvW6dIUygCfuJiKqi9hIEf0J5hI7ls1NQeFpMwzBGtz8aA9ERHL6KBGVJ+odOgTL1q0wb9/hSdQzmaom6sXHwzhoIIwDB0LbqRMkjcbPlRMRUW2wkSL6g0ryLVj6bgpKC2wICtdhzIx4BEcwRZKosXKbTLBlZsK0aTMsu3bBceIEZHPVRD1d164wDh4MY/9+0ERFMVGPiKie4k9voj8g/1Qpls9Lg6XUgbBWRoyZ0ROGIP4VmagxcZ0/D1taGso2boR17z44c3M9jZMs/56o16KFJ1EvKQmG3r2hbtWKiXpERA0EGymiy5Rz6DxWL9gPu8WFFh2CMeqROGj1/K9E1JAJIeA6cwbW1FSYNmyENTUVrvz83xP1JAmSXg9NdBT08fEISBoKfVwcVE0jmKhHRNRA8d0f0WU4tvcc1i0+AKfDjbbdwzBySjeoNUp/l0VEV5iQZThOnIB1zx6YNm2CNSMT7vMXJOoZjdB27epJ1Bs6FPrYWChDQvxaNxERXTtspIhqKX1jDrZ+fxSyW0bnfs1x3eQuUCo5RYeoIRBOJ+zHyxP1tpQn6pWUVE3U69IZhn79YRwyGPouXSAZmahHRNRYsZEiugQhBJJXZiF51QlAAD2uj8Sg8R2gkDhdh6i+km022A4dgnnLVli2b4f9+HHIZWUQTieA8kS9oCBoe/WCceBAGAcMgLZTRybqERGRFxspoosQssCmbw8jY3MuJEmBvmOi0XNEG655IKpn3CYTbBkZMG3cCMvuZE+insXim6gXFuZJ1BsyBMa+faCJjoZCyam7RERUPTZSRDVwu2Ss/SQTx/aeg1ItIXFCJ3Qd2NLfZRFRLbgKC2FNS4Np4yZY9+71JOpZLL8n6un1ULdoAX2PHjAmJcLQq5cnUY9/JCEiolpiI0VUDafdjVXz03HqwHlodEoMvz8G0T0i/F0WEVWjIlHPsm8fTBs2wpaeBte5fMhWq2+iXrt2MMTHwzg0CfoePaBu2tTfpRMRUT3GRoroAjazE8vnpeJsdil0AWrc9LfuaNE+xN9lEVE5IctwZJ+AJXk3TJs3w5aRCXdRUdVEvZiuMCT0QUDiECbqERHRFcdGiqgSU5ENS+emoOiMBcYQLUZPj0NYywB/l0XUqAmHw5Oot307zFu2wnb4MOTS0t8T9dRqT6Je164w9OuHgCFDoOvSGZLB4N/CiYioQWMjRVSuKM+MpXNTYTpvQ0gzA0ZPj0NQmN7fZRE1OrLV6knU27wF5p074Dh2HLLJVCVRT9e7N4wDB8A4cCC0HTpAwUQ9IiK6CIvTggJrAU7kn7gix2MjRQTgbHYJVryfBmuZExFtAjF6Whz0gXxTRnQtuEtLYc3IgHnTJk+i3smTkM1mwO0GUJ6oFx4OXUwMjEMGw9i3LzRt2zJRj4iIvJxuJwpthSiwFiDPnIeskiycKjuFPHMe8q35KLYXw+aywSk7YTPbrsh9spGiRu9kRiF++TgDDqsLrTqF4KaHe0Cj438NoqvFVVAAa1o6TBvWw7ovBc4zZ6om6rVuBX338kS9nr2gbtWSiXpERI2ULGQU2YpQYC3AOcs5nCg9gZNlJ3HadBoFlgKct5+H2WmG0+2EU3bCLdw+t1cqlFBLaqglNUK0ITCqjMhAxp+ui+8WqVE7tDMPG748CJdTRrueERhxfyyUasnfZRE1GEIIuHJzYd67D+aNG2FNT4M7v8A3Uc9ggLZ9e+h7xsOYlARDjx5QRTAlk4ioMRBCoMxZhkKrZzTpVOkpZJdm47TpNM5azuK87TxK7aVwyk7vpTIFFFArPU2SUW1EsDYYEfoINDc2R+vA1ogOjkZLY0uE6cMQpg+DVqlFaWkpghH8p2tnI0WNVuq6k9i+5Dhkt0DMoJZImtgZksS/eBP9GZ5EvWxYdpUn6mWWJ+rZyqdRlCfq6WJjoe/dGwFJSdB3i4UyKMi/hRMR0VVhdVlRaC1Eoa0QuaZcZJVkIacsB3nmPBTYClBiL4HdbfeOJgkIn9tXjCRplBqE68PRRNcEzQzN0DqwNdoGtUVkYCTC9eEI14fDqDZe09kLbKSo0RGywI6lx5Gy5iQAoNeINug3th2nDRH9AcLhgP3oUU+i3rbtsB06BLmszJuop1CrIQUEQBMbC2P//jAOHuxJ1NMzyIWIqL5zyS6ct51HobUQZy1nkV2SjRNlJ3DGdAYF1gIU2YtgcVrgkl3VTrlTKVRQK9VQSSqE6cMQqgtFU31TtAxoiaigKLQNaosIQwTC9GEI0YZAUtStWUNspKhRkd0yNnx5CAd35EFSKjBgXHvEDYv0d1lEfvf9999j9uzZCA4ORlBQEIKCgryfV94WotcjtLgYAUePQn3wIHA6FzCbf0/U02o9iXqdOsE4aKAnUa9dOybqERHVM7KQUWovRaGtEPmWfGSXZuNkqWdd0jnLORTZilDmLPNOt3PJLp/bSwrJO5oUqAlEiDYE4fpwtAhogTaBbRAdHI1mxmYI13lGmdRKtZ8e6R/HRooaDZfTjV8/zkBWWgHUGiWGTuqCTn2a+bssojrh1ltvxapVq/Df//7XZ3uQJCFGq0NigBEJBgOaqDUwShJUCgVkAEKjgSYiArqYGAQkDoEhoQ80UW2hkOrWXw2JiMhXRRR4oa0Qp8tO43jJceSU5eCs5SwKrYUodZR6ptyVN0mVp9wpoPA2STqlDs0MzRCmD0Nzg2ddUlRwFFoHtPasS9KFwaBumOf1YyNFjYLD6sKKD9KQe6QYWoMKI6d0Q2TXJv4ui6jOkGUZt99+O3774Qe0c7uRaDSip96A5ioVDJIEpUIBWQhYZRm5bjc0sbGIf+B+BCQkQNWiBafGEhHVIRdGgWeXZONk2clqo8CdshOykH1ur5JUnnVJkgahulA00TVBU0NTtA5ojbbBbdEmsA0i9J4pd0GaoEb7O6BRNVKf5ORDH+hZ8Hzht1u64AVw4fVVvlZceP3Fby9V2lL1tr6UCkClUEAq/6hWSOWfe+pUQgGFwnNMSQFI5fVLCk8dSoXnmEqFpypJoSjfx3M83wugkhTl96Oo8jw0BJZSB5bNTUFBjgn6IA1GPdIDzdpyYTuREALO06dh2bsXpg0boVi6FP+LaAq9JEFSKOAWAhZZxlG7HSk2KzZZrEi4cwKenj0bTZrwDxFERP5wqSjwInsRTE5TraPAQ7QhaGrwrEuKDIxEdHA0mhqaIlwfjhBtCFRSo2oXLkujemZeP34GkrHM32VcEYrqPioqf62o8XpF+fWKyl+XN2EVDZiyvFGraOqUFU1XRQNW3nxpFQpoJQV0kgStpIBeKUGnlKCXJOiVEgySBINSglEpwahUQicpoFVK0CgU0EgKaCTP52rJcxzP555jKa9AU1daYMXSd1NQkm9FYJgOY6bHI6RZwxxeJroU4XbDkZ0N865dMG/e4knUKy72Juq1VKlgcrux32ZDstWCTSYTMu12mGQZ119/Pea++y66devm50dBRNRwCSFgcppQYC3wRIGXnUJ2yZ+LAg/Xh6OFsUWNUeD0xzWqRmpsRDA0AYEXhCrC5+sq14nK1/lee7HbXbhB9rnqIscRnq9lISCXf3QLwA0BIQB3+T4VX8sV28v3r3zbiuvlSsd0l390iUr7wfMfVy6vzCF7Poryrytqqvr1H+MZJfM0ahVNXMWomsJ7vWcUTVXeZKnLGzZNeZOlK2/e9OVNW0WzZlBKCFAqYVRKUJQ6sH/FCbgVTjTpHIA+EzrjbICEEqsd2vLjaK9g00ZU1wiHA7YjR2DZvh2mrdtgP3IEcmkphMMB4PdEPW23bjD074e9QmDb6dN45Z//9B4jKioKi99+G7fcckujnbpBRHSl2Fw275S7M6YzyCrNwqnSU1csCrx1YGtE6CP8EgXeGDWqRurtrm0RxHOV+PA0VZ7GylXxuez56Cxv4jwfxQXXe7bb3DJMbjfMbhlWWYbFLcPqlmGRZdjcMmyygE2WYZc9+9qFgFMWcMgyHOWfOysfW3gaNrcQcAGwyQLC7WkGZW/zeOkmTu0SCLLIUHRQw6XUwGRU4oND2b5NXKUGTqkA1OXTGzWSBE35CJlWkqCTFN4RNr30e8NmVEoIUHmatsDy5k2rlHxG6C5s2DQKBX+o0VUjWyywHjwI86bNsOzcCUdWFtxmM1A5US8kGLpOnWEcPAjGAQOgjY72JuqNBFD87bcAAIPBgGeeeQZPPPEE9IwqJyK6pOqiwE+VnfJMuatlFLhK8sSB1xQFHm4I9065q2tR4I1Ro2qkqCpJ4XlzX1eCiWUh4ChvruzlDZdTCNhkAXt5Q2Yvb9hMLjfK3DLMbhlmtxum8ibufJ4ZBdnFcAIQIRqglRF2IX5v4so/uspH4dzlDZxVyOWjgJ5mTha+I4m1IQFV1q8pKq1Rk/D7ejS15JneqFV4pjt6G7aKaZEVUyJVShglz0hboEpCoEqCTvp9mmRFg1a5edNIDXO9G/lyFxfDmpEB08ZNsCQnw5mTA9lsBtyeX84KvR6qiAjou8XCOGQIDAkJ0LS9eKLe1q1bMXHiRPzzn/9E69atr9VDISKq02Qho8xRhgJrAfIt+ThRegInSk8g15SLs5azVywKPEznSbmrj1HgjREbKapTJIUCOqUCOgCBf+D2GZtPY8v3eXC7ZHTs0wzX39IVSlX1bxqF8DRVjkqjZhXNmk2WPdvLR9fKXJ5GzVzewFnKm7mKETibLMNa3vh5jiPgELK3YauYSumC5/4unHJZm1G2yiqPrHkbtorPKzds5U2WpvyjT8N24Rq28tE1b8OmVEJXaYRNU2mEjiNs154QAq5z+bCmpcK0YQOsKalw5eVBtloBWQYUCkh6PTSRkdDH9UBAUhL08fGXnaj35JNPIjKS51YjosbF4rSg0FqIAlsBTpedRlZJFk6VnfpTUeDNDM0QGRjZaKLAGyM2UtQgCCGQvOoEkldmAQLofl1rDP5rRyikmt9AKrxhGUAglFe1Pnf5CJv9goat8kebW0ap240yl1zetHmmTFoqXWxyReNWflvvVMnfp0j6NGzuq9CwXTDCpq60jk1TqcnSSRL05QEkBqUEg1L5+5TISg1bwAUNm/aCY2jLj93YGjYhy95EPfPGjbCm74ersBDCavUsVJQkSAYDtB07Qt+rJwKTkqDr3h2qsLA/db9sooiooamIAi+0FuKM+Yxnyp3pFM6YzvypKPBWAa0QFRyFNoFtEK73TLlrzFHgjREbKar3hCyw5X9HsH/jaSgkIOHmaPS+oW2d+kGmVChgUCpgUF7d+cxyNdMgbZVGyioasbLyaZEml6dZM8syLC4ZFre7fH2b53xBlUfnKkbYnJVG2JwXNGyekJPLb9iqmxJZET5SETyivmCEzadhU3qatopmrXLDFqhSeteweRq2imatbjVswu2GIyvLk6i3aTNsBw/6JOpBpYJkNELboQMMfRIQkJgIXWwslAEBf+j+/vnPf0KpVOL2229HmzZtruAjISK6dipHgedb8pFd6jlfUq4pF/mW/FpHgask1UWjwMN0njVLjAKnyhRCiD8avlZvlJaWIjg4GCUlJQybaGDcLhnrFmfiaPI5KNUShtzeCTGDW/q7rAavuhG2Cxs4s8sTRFJWPspmKZ8aaXG7PSNs5aNw1kq3c8gC9koNm1tUTrCsvHbt95G2y23YKs635nMONnhG2pSAd3StIinS02yVT4mslBJZcQkoDx2paNqMkqdh01wwDbLytEiVAhBOJ+yHj8C8bSvM27Z7EvXKynwT9QIDoe3QAcYB/WEYOBC6zp0h6XRX5Hu4c+dO9O/fHwAwcOBA3HHHHbjtttvQokWLK3J8IqI/qyIKvNBaiHxrfvVR4I5Sb5N0sShwnVLnjQJvbmiOyKBIRoE3YleqN2AjRfWW0+HGqvnpOJV5HmqdEn+5NwbR8RH+LouuIFd5Y1XRnHnWs1Vt2DzNmrvSlEgBs9vtSZCstIat4hiVg0w8a9Yu3rD9kdCRCxs2pRDQOhxQ223QWK0wWMzQOO1QO5zQuJzQuFxQKwCl0Qh1eDg0zZpBGxoKo1rladgqNWvelEifUwJU07BdZGprQUEBRo0ahV27dnm3KRQKDB06FBMmTMD48eMRHh7+B75rRES1UxEFXmgtRK4p1ycKvNBWiGJ7sXddktN98SjwQE0gwnSedUmtAlshKiiKUeBUIzZSl6HiycrNTUFQkCfC4PL/M124v+/Xlz7epW5fHhegkABIUCgUUCiU5Z9LF3ysfF3j/KFgMzux/L1UnM0qhS5AjRundkfLjiH+LovqKdcFo2oOUSmAxO35aHZ7GjZTecNmumANm7X8FADeY9gdkE1lECYzZLsNslzxFkABUf7f1q1Uwq7Rwq7VwqbWwq5SeeY41lLltWrVTY2UgGrXr2klCVvWrYNss0LYbRA2K4TVCmG1eC5mMxQ2C+I6dsSwIYNx3ZDBCAsKrHEdG8/DRkQXqikKPNeUi3xr/mVFgQeoA3yiwNsEtUFUUBQiDBGMAqc/hI3UZah4spYt7wijsaZQgav1RuByjuvZ9/fmqOpHz1WVt1es6aj4/PeGTKFQQaFQQVKooZAqPtdAIakhSWpIkhaSpIZCoYFS0kKSNJCUeqiURihVgVApA6FSB0GlNEJSaqGUdJDKL0qltvz2ekjXeL6wqciGZXNTcf6MGcYQLUZPi0NYqz+2ToToSvAk6p2DNTUVpg0bYU1JgevsWZ9EPYXBAEXz5pB69oR60GBI3brB1STME81fKXDEXF1KpHdapKdZuzBwxFE+0uYsDx9x4/e1atWPtF3GY5NlQAjPqJqkgEqprDI18sLzsFVeg6aXFNApf4/1NyqVMCoVMFZKhwxQKmFUSdVOg+SJs4nqngujwE+WnUR2SbYnCtx6FkXW2keB61Q6hGpDfaLAo4Ki0DygOaPA6aq5Uo1Uo1oxp9FEQKOp7iFfvJe8dK954fWX2P+C4wnvvwIQAhVL9T33W3kViCi/qex7S+H7seI2lW/v+fxyIwAq/N6kVR0dk6BQKKFQqD2NllIHpdLwezOmCoRKFQS1OhhqdQjUqjCo1UFQqoxQSnoolUYolXoolQZIkvaSI2zFeWYsnZuKsvM2BDfVY8yMeASF8WShdG0JWYYzJweWPXtg2rgRtowMuAoKPcEQFYl6RiO0nTrB0KsnApKSoOvRA6rQ0Ktfm/j9PGy2SlMZK4+4lVgseO6113E8Nw82hQSFwQBJb4BCbwD0eih0eii0Okg6PQKbNEFAkybQBwVDqdXCCXjXsFU0aheeh63yybNrq+LPQb4pkTWcOFtSQKvwRPJXjJDpJQk6paLSGjbl7wmRKiUCyz8alBdv2HQ8BxvRxaPAbYUotXuiwCtGky4WBd7U0BTh+nBGgVOD1KhGpOrjGqmKBkgI2fux8ueej27PjzDhLt8mIIQLsuyELJwQshNCOCHLrvKPdrjdNrjdVrhlG4Ts+VyWHXC7LXC7zZ6PsrX8axtk2QZZtkOWHZBlx/+zd99xklZ12vCvO9+VQ4fJoScPMENOMzC4gIKChGUU1sQaVncN8OiKIkGCBMF11+xr2GfXXZ81IUFEWRUlIwiSYXKe6Znp7srhzuf94w5dVR2ma6a7q8Pv66fs7uqq7jPFTHdddc65Dhgz3e87YFz9YxiaP3Mm1AQxHhwEcLwCQVDdkCVGIIpRiGICkpiAVorhzcdN6EUJsVQaZ77rWIRjSYhiBIIQhiBEvK9LyOhilgV92zZUnn0OpSefhL5hA+x8fkCjnrxwIcInn+w26h218rAb9cbD3r17sXTpUlSr1eA6juNw3HHH4eyzz8bZZ5+NM888E7HY4Ce6NQa2xnPYdO8cNn8JZO0sW23piD+71vg1/Nk1kw1+7lpj6chIcRi8xt/d0+YGNpGrbYmsD1mqdxabewabgLDohrWI4O9h6z+Dbag6f5kCG2mh2irw/eX9bkg6zCrwqBylKnAyKdGM1DTh/gASvD1RE4vjmEHAsm2tJnhVYJl5GGYGppmDaeZhWXlYVhG2VYJll+HYFS/I6XAcHWA2HBhglgbTzAShzGebCqxqCvEugBNMSOEsXn2Trwlk7oXnZW+mKwxBjHpBLA5JTEKSUpDkNihyGqKUdGfNhKgXxNwwRkGMAICj69A2bULl6afdRr0tW+ob9WTZbdQ79lhETjsN4TPWQl22DLwyeRqfbrrpJlSrVaxYsSIITm95y1vQNsJzqDjOr6If23PYDnVwdm1gK3pNkSXbQdmq2cPmDB7Y3Fp/Fhyc7YDBZgwmAyoNM2yHG9j6a/wHnscmcv3712TeO9fOC2oq7wax2jp//8DsqCAgKvKIeZX+wwU2hQLbtNJYBb6zuBM7CzuPqAq8I9yBOdE57mxSfCFmRGZQFTghHvoXQA4b7+21AgZ/xXqkGGNeGKvUXSyrBNPMYM+mXdjySjfAV5CYYaBzaRmOU/RmzqpwbA0OM8CYBcvSYbI83Jkxe5jvygXhy12i6AcxJVhqKAg1M2KSF8SkNBS5DZKUDD7v3jYKQQhREJuk7FIJ2htvovT446g8/xeYO3bALpUBy13XzykKhFQKyooViJyxFpFTT4WyaBE4cXL+CNV1Heeccw5uueUWzJkzp9XDGdZ4HZzteGHNYIPU+QchzA1pQwU2v3AkKB2x/T1s9YdmMz+wOQzlmmWQh31oNmpr/JsLbCG+f/9aENi8hshozSybygvuMkihfoZO5tz3ZQpsY26wKvCdhZ3YU9zTdBV4RIoMWgU+KzIL7aF2pNU0VHF0jlogZCqjpX1kQnv5kV145v5tcGyGlWtm4az3LAc/SKWz45jBskTLLsO2ykEQM4xemGYWhpl1Z8bMAiy7BNsqw3bcpYv9SxVtb5mijdoZsYH6gxgHHuAEt8zDX5oYhLA4JDEOUUpBltOQpTRkuR2iGHdnzIRIcFuel8fscST1rGwW2iuvovTYY6j89a8w9+6FU6kAtvvfnAuFILa1QT36aETPWofwSSdBmjsXHE9BmRwZP7A1zqrVfuzOsNUGNrtmSaR70UcS2IZYBnnYgW2QkFa7PFIc4tBsfw9bSOC9JZH1ga22eEQVBtb5176VW3ho9lgbrAp8T2EPusvd6NP6kNfz0GyNqsAJGQW0tI9Macxh+POvtuGl3+8CAJzwtvk49eJFQ/7gd2fHEpCkxGF9v/79Ye5MmG27Qcww+2AamWCZomXlYJnFIYKYCStYmmhj+K32/bNgwR4xToIghMDzbnOiKLqtif3LEtOQ5TZIYhqi5IWwmjBGs2GDY4zBOnAA1ZdeQumxx1B9+RW3Ua9ScYshOA58OAx5wQKEjj0W0bechdBxx0Hs7KQnGmTU8RwHVXD3Wo0lp+HQ7KECWzFYEumewVayHVQsdw+bH9TqWiIdBqPm0GzLOzTbgncmm93fDMlGKbA1Lo/096/VHprtF4+EvIOzawtHapdFxkT37VCBzf9YGuXAZjlWsOTuYOUgduR3YFdxF/aV+5fcjbQK3F9WN1gVuP85qgInZHxQkCITjmM7ePR/NmLDM/vBCxxOv2Qxjj1n3ph+T56XwfMyJCl5WPd3g1gZllV2Q5ZdhmUWYBh9QRgzzSxMb6+YH9Ycb58YYxYY02Db5WBmbOinH36DooAB+8OEcM2yxDikIIi5IcyfDXOXJEa8/WHRETUmThbMcWDu2uU26j3+BLTXXoOVyYD5pQqCAD4chrJiBcInnoDourOgrjpmXBr1CBkvPMchJLihYiw5bOAh2Y0fV72ykaJX519qLBxxHGg2Q7Um5BneYdz+/jU/sJkDAlv/0shmAttgyyD7A5t3BlvNDFvj4dchwQ1tYUFAiOcgcQZgV+HYJVSMPhS1gyhoB1HU+1DSMqhYeW9fcBW2rQHMAMdMADaEmirwqBylKnBCJhEKUmRCsUwbv/v317H95V5IsoC3vG85lp08s9XDOqT+INb8k3HGHDiOVjcTZttlGEbWC2F9Xghzizvcwo4SbLsycH+YmR/BssTa2nr/Inrng7lBLKitFxOQ5BRkKQ1JboMstbkhLJgJi3rV9a37UcIsC/rWbSj/+c8oP/UU9I0bYedyYLru3kAUIUSjkJYvQ+SUUxFZdybUFSshRCMtGzMhUwXPcQgLHMJjHNjshhm2wQJb2VsK6c+ylW0bZZuhbNvQvNIRzXZQrbufew6b6bVQ2kFgA3SHgdkMDnPgMNt7wct9oYvzf84yGxwGe+GrE2CdbkLz2705uO20wYtfIkROhMyL4AQRgiDB4UWUeB4mzyPLc9jOeDxX5BGu8IgIFsJCjzu7Jvr71wREeN6bYRu4HNKv9xc5TJkXywiZSChIkQnDqFp46DuvYN/mHJSwiLf9w9GYv3JkDWKTGcfxQYA5HHX7w6wSbLsE0yq6SxKNPhhmBlYwG1YIgpptV+A4Gphjw2Fu2Ydh9ASV9kOPt3YmjA9KOvwgJgpRd+mhmHBnw+S0V9LR7pZ0iJGaxsQoeF5t6he8o+vQNm5E5amnUH7mz26jXqk0sFHv+OMROf10RNaugbJsGXiZ9qARMlkJYxTY6qvAD2BLbjt2lvZhX7kHB7U88kYFmuPAZBxMBjgQwTgJjJPBODk4pJ7jFe8FJv/8xCgEIQqOD8PhZNiQYEGA5e1lqy0XqTKgbDMwy4EDvelDswHU7VWrPXut9q2/HFL2Z9e4/jr/2sKRsLeXrTasxbxlkkpt4Qg3SGAbZA8zIVPZtApS3/zmN6Gqg7fQHOkrNc3ef7Dbc96abJ7ng/eH+rj2Ov99QRAgSRJEUYQkSZBlOXhbe2m8jaIowfWtesWqUjDw4DdfQu/uEkJxGRd8YjVmLKBikJE4kv1hbmOiVjcTZlllmFbOLekw+mCYOZh+UYdVgm2VgnPGHEcHYw4sqwTWZFuiH8h4TgAvqO7eMNEPWDGvKTEJ0Y4ABzXYb+yG+dpW2DsPgGWr4Ms2OA3g5RCEdBrqihWInHkGIqeeCnnhwknbqEcIGR1+FXif1oeeSg92FHZgV2EX9pb2oqfag6w2sipwmReRlMJIKSl0hNOYHenfl3S4VeDWILNq/j42w3tbDvawucshS5Yd1PnXtkRq3hEAbuGIExSOmDWBzQKgWf2V/gxslAJb/dJIHoDM9+9jq50dC3nLIsOCG9oigoCwwNW0Q3qBTeyfXZOH2Mcm0OwamSCm1TONarWKiVBSeKgx1H5+qPePVGMI88OZH7AkSYKiKAiHw4hGo4jFYojH40gkEgiFQgiFQlBVFYpy5HtrCr1V/OobLyF/sIpYm4qLrjoOyRl00vl4cAN4CIIQgiy3N31/xuygoMNfbmiZxaAtsf8ssRxsq+DuD/Nr652qe3A0M2CbGhjrc0OY7YAz0H+xvG8WBXAagNM49ze5wgOqBE4VICg2BHE7BOEgxNLvIW5wg6UkpSBL7W5Jh5QMXiWms8MImdwmexW4yHMQeQFjucCYeXvLBlsGGSyPtB2UHacurJVq2iH9PWz1hSM1h2Z7gc3G6AU2DgNLR7iGwCb4h2Zz/XvX6gJbTUNkSBAQEbi6dshoQ2CrnVWrDW0U2MihTKv68x07dgxZcXi4D8NI7jfS27izA84h3/c/tm0bjuME79u2DV3XYRgGLMuCYRgwTTO4WJZVd6m93rbtuu/jvx2MH7oEQQDP85BlGaqqIhwOB2ErlUohlUohEokgHA4jFAqBH6Q6undvCb/+5kso5wykZ0dw0VXHIZKcPIeaksPnnx+m7d2K8ut/RemFp1DdvgGmloHN6WAhBicEICqCpSSwzhDQrsCJArZgeLNh/gxYbW39cCUdg50dpg6orHeLOpLBuWH1lfXhIIzx/OT9u6rrOpRJdIAwmV5qq8C7y93Ylt92WFXgkiAhLseRVtOYGZ6JObE5WBBfgHmxeVQFPkqYF6ga2yHdQ7RrAlvDDFu5LrDZqAYNkYMfmm2y/hm22hr/xtKRkfLPYKufWatfGil6gU30ljLWzpCFeB6qwCEcLIsUvHZId1lkzJtlCwnDBzaVzmBrCao/PwypVIrOkRoEY6wuhPkXTdNQKBRQKBRQLBZRKpVQqVSgaRo0TQsCWKlUQqFQGBC8/JkuQRAgCELdDFc8HodghbDl6TzsKo/OhWlc8LFjEE7QPpapjDkOjJ07UX3hBZQefxzV19+AXdOoxwsCQpEIpLlLET7qRETXrUPomGMgJJMDvxZzgr1ellX29oaVYJk5GEaPV9SRhWkVvGWJxUEq6y1YVv6IKuv794b5lfWx/sp6KQVZ6aivrA8Ocm5tZf0f/vAH3HXXXbjyyivxrne9i342knEzoArcW3I30ipwf8ldbRV4R6gDc6JzMD8+HwtiC9AZ6aQq8HHCcf7ZYWN7aPZQga32Y/cMNrvu0OxKY0ukVzjSGNjMusDmHZrNgApzBj2PbaT6A1v9uWvuTJsf2DhIHLyWyPqQFRL4oNo/LAgIi3xw/pp/YHY8qPQfvM7f/5gC2+ibVjNSdCDv6LIsC5qmoVqtolqtolgsIpvNIpvNolAooFwuo1KpQNf1YMbM9g88dQTwjuz+NOIdcIod7PEKhUKIRCLBzFZ7ezsSiQSi0SgikQhkKg2YNJhpQt/mNeo9+RS0jRvg5AsDGvXkri6ETz0FkTPPRGjFCvCRsW/Uq62sdw9yLsEyi15BR29NZX0BllWAbZdgWW5lvePocJgFwKk5yPnQlfW1dfUcx7sHOPMhCGK4f2+YmPBmw1JuU6LcDklM1OwfG53Ketu2sXTpUmzfvh2hUAh/+7d/iyuvvBJnn302BGHsngyRqY0xhoJRQG+1Fz2VHuwq7sLOwk7sLe3FwcpBZLQMikYxWG5nOVbd/fmaKnBVVJFUkugIddRXgUdmoi1EVeBkbDDmzoLVtkMagwS2YmNgs+z+WTanfg+bbjsw/EOzvcBmeYHNYTXLIHHkga3x3LXaA7RFrrZwhIPCueUhQeGI1wAZHJrtnb/mn8EW85ZDDnX+mn+m22QIbKOVDShIkTHnOA4qlQoqlQrK5TLeeG4HNvxlDyxOh5J0ICVMVLUqTNOsW7JYyy/TEAQBsiwjFAohGo0ikUggnU6jvb0d8XgckUgE0WgUIhUNtIRTrULbtAnlJ59E5Zk/Q9+2DU6xCGa6+xM4WQYfj0NZugSRNWsROf10qMuWgptk4XhAZb1dhm2VYBg5byasN6ist0x/b1jJ3RtmV73Kej+AOTiyyvpQ3bJESUxAlFJQ5DZIchskKQ1JjNXNhAlCBE8++TS+973v4X/+53/qvtOcOXPw/ve/H1deeSVWrFgxpo8jmXwqZgV91T70aX3YU9qD7bnt2FPag/3l/ejT+lDQC9BtPZhNql1yx4GDxEsQeRGKoCCuxNGmtmFmZCbmRueiK9GFubG57nlJoTaEJdorS6YuxwtWtbNqQYDz9qRpjhvW/MBWdhyUawKbH9ZqA5vuB7bg0GwWHI7duAzSXx55uIFtwNJIbz/bSAJbqDaweQ2R/Ydm81B5wV0GKQy+LFI+wkOzKUg1gYLUxMAYwwu/3Ym//GY7wIBjzpqDM9YvBefVpZqmiXK5jFKphHw+j76+PmSzWeTz+WBZoWmawcxW41/d2mWEftiKxWJ1YSsWiwUzW/Sq+5Gzi0Vor7+O0uOPo/KX52Hs3AmnUgEs91VmTlUhJJNQjzoKkTPOQOSUkyF3dYGb5o/9wMr6MkyrANPMuiUdxlCV9VW3sr7mPBs/jA2/LLG+rp7jBGQyRZRKBjTNQaXioFxyUCo7KBQcFPI2sjkb7W2LsO6st+Ot574T6fSsmr1hIdpTMgXVV4Hvd5fcFXehu9SNnmoPcnoOmqUFs0kOq/87J/JiMJsUk2NIq2l0hjqDfUnzY/PREXb3JcXkGC25I2QcOIOcwda4LFKzHRS8GbaKtzyy3LCPTaspHTGcwQNb//61+lm1ww5sg8yq1S6PFGsOzZYbZsj8ZZF+6UhjYBOqJVyxZCEFqZGgINV6zGF48heb8dpje8HxwEkXdOHE8xc0/WTMMAyUSiWUy2Xkcjn09vYil8sFYatarQZ7tw4Vtvw9W7FYDMlkEul0Gm1tbYjFYohEIohEIoMWZExnVl8fqq+8gtJjj6P617/C3LfPDU6OA3AcuFAIYlsbQqtXIbLuLIRPPAHSnDn0pHsUDV9Z786GjaSyvlIpguMYeJ6DIAx9hIPjMLgTxDwEQYIoyuA50T07TPAr62NeZX2if2+Y1O6WdEhRiEK0ZkYsDJ6fXDOQU0EzVeCWY8Fi9Uvu/H1JIi8iHFSBdwRV4AviCzAjPAPtofamq8AJIZOfw/rLRYwh9rFVbbchsuiFtHKwLNLbw+Y40GyGasN9DeYE+9csVhPMagKb+/HIA5tTLqHnnWdSkBoJClKtZVsOHvnRG9jy/EEIEo8z370MR50xe0y+F2MMuq4HM1vZbBaZTCbYtzVY2GrktxGKoghFURCJRBCPx5FMJtHW1oZ0Oo1oNIpoNIpQaOq+Ms8Yg9XdjcpfX0TpscegvfoKrIM9cKpV96cXz4MPhSDOmonw8ccjctZZCK1eDamzs9VDJ8PwK+u//vW78OCDv8D+/TsRDnNIJgUkUwKSCQHxhIB4nEckwqO9PYJUKoRIRIQsc+B5J1iO2L83rJmSDgEcJ7lNiXzYPaBZjLkHOAeV9WnIcgdEKQmJKusPiTGGsll29yXVVIHvLe7F/sr+YF+SYRuHrAJXBRUJJYE2tQ2zIrMwNz4XixKLMCsyK9iXNNpV4IQQMlL2IDNsjfX+5Zq9a6W6lsj+s9iK+TzuPfMEClIjQUGqdUzDxsP/36vY9UYGkirgrX9/FLqO62jpmBhj0DQNpVIpCFt9fX3I5XJBSUZtK+FQYUsQBIiiGOzXisfjQTlGMpkMwtZkKcdgjgNjx05Unv8LSk88Ae31N2Bns0GjHgQBfCQCad48hE88EdGz1iF09NGDNuqRiW/Xrl1YsWIFqv5/XwCKouCUU07B2rVrsXbtWqxZswbpdDr4vHv8glE3E2bbZZhmHqbZB93oc0s6rJw7G2YWgvPFbFvzliUeTmV9fVEHzyve3rAwRCEKUYq7QUxMQJLb+veHiQlvJqy/LZHj5En34odu6+ir9qG32ovucje257djd2E39lf2o7faO/IqcF5CXHGrwGeEZ2BubG5dFXhbqA1RKTrpHh9CCGkW7ZFqgv9gbf/+s4iFooPf6FC/OBo/PdztD/WlGu873O15DpzANbzlAYFz9xYJ7secwIETeXCKAE4RwEs8IPLudRIPXhHBqQI4iR+3X5Ja2cSvv/UyDmwvQI1KePvHVmH20uS4fO8j5TgOqtUqyuUyisUiMplMsGerWCyiXC7XtREOV44hSVJQ+55MJoOwFY/Hg/1arSjHYIbhNuo984zbqLdpE5xCTaOeJNU06p2K6JlnQl2xHHyYNoBPBVdccQX++Mc/BqFp7dq1OOGEE8b0bCm3sr5SE8IaK+u9pkQzP0xlvX0Es2G1lfWhoLJeCM4NS3qzYe2QpDREKdYf1rxlie45ZKPHrwLv0/pwoHzgiKrAo1KUqsAJIWQEKEg1wX+w3vg/v0VMGfta5QnBPxqccw8q4Lw6FY7nwMkCOJkHHxIhxBWIbSrEzjDEthCEqAQhLoOTjuzJQimr4VffeAnZ7goiSQUXfupYtM8ZIsROUrZtB0sIi8Uient7kclkkM/nUSwWUalUYBjGEe3X8psIw+HwEe/XcqpVaBs2ovzkkyg/+2cYW7fBKZUGNOqpy5chcvrpiKxdC2Xx4knXqEcOzbZtbNu2DUuWLJlUsw9uZX2lpi2xBMssuQUdpteUGASxImy7eASV9fBC0xCV9ULYPaBZjHrLElOQpaRXWd/hzYaFUXUY8qaOjFHBrmI3dhZ31VWBl4wSDMdougp8XmweuuJdVAVOCCGHgYJUE/wHa+8jGxGPxgb+3qx9CIZ7NFjjhzVXDPei6ICv2X/FgEe/cSwOA3MYYDMw23E/tln92+DzDMx0wCwHzLLBTAbYjnud6fTfP+jAbPjmHMCJ7mwXH5EgtoUgzYpAmR9zg1ZKdT9/CNnuMn71jZdQyupIdIZw0dXHId4WOuT9piLDMOqaCHt6egaUY/hNhI7jDAhbftASBAGqqgbnaw22X0tR6s8VsgsFVF9/HeXHHkPl+Rdg7NoFp1wG/LO8VBVCKgX1qJVuo96pp0JesGDaN+qRqckt6agGM2F+Zb1p5rwlic1X1jvMhg33R6nN4L3PwUb/xwwc4NUNMwA646A5gME46IyHwXhYEMHxIUhSDBGlHcnQHMyKLURndAHSodloj8xBVO0ATwUOhBAyKihINYH2SLlPImAxOLoFR7PBNAt22YTVU4XVW4WV1WDnDThlE8ywwSzHfSbgEzlwkgAhoUCeE4GyOAl5bgxiW8hdcujp3pLDb/6/V6GVTHQsiOGdnzwWoRjNaAzF36/lh61MJhM0Edbu12o80NhXt4SQ4xC2bYSLRYT7+hDq64NaKCBUqULVdagcBzWdRmj1akTOWofw8SdAmjN7Us1IEDJegipwrQ8HSgewPb8V+4pb0Vfeh5LeC83MgXM0CDAhw4bCOVB5BpWD+5bnoPKAwjGEeEDiOAjuamwIYODBIMCpqfVtHMHAynqek8ELarDcUBCjbkGHmHDPC/P3h0mpunPDRDEKnleppIMQQjwUpJpAQao5jmbB6tNg7i/D2FWAeaACO6PB0Sww0+mfUBM58IoAIaVCnhtDVuDw1B/3oFC1MXdlCm//2CrIKr2CeqT8A439JYR9fX1uOUZ3N8oHDkArFGBZFryO6roJUEcQ4AgimCIDigJJVYdcQhiNRhEOh+l8LTLl1VaB91Z6sb2w3d2XVNqHg9WDR1YFHpuPBYn6KnCBE+A4ujsT5s+IWWWYVh6G0RtU1ltmzivqKMG2S7Ct+sr6+qKO4Q5w5ur2hrl7xUQIXmV9/wHOseAAZ1lOQ5bavMp67wDnmrZEqqwnhEwlFKSaQEHqyDHG4JRNmPvL0LflYewowOytglXdcGU4DDpzlzvykoD04gTUpSmoi5OQZoRHtCSQDM1t1NuB8nPPofzEk9De8Br1NA0AYIsijHQa9oL5sJYvhzZ/PvKhEArVatOHGftLCGOxGFKpVBC2/CWEqqrS+VpkwhquCvxA5QD6tL4jqgLvindhdnT2uFaB+5X1/XvDyrDMEkwrA0P3SzpysIJlid7SRbviNSWao1BZL7pNiXWV9XFvNswLYnIHRCnlVdb3nxsmCBGaDSOETCijlQ1ouoCMCMdxEKIyhCUy1CUpAN45QzkNr92/Fb0v9yLGc2gPCVABGJtzMDbnUBA4cIoAMa1CWZiAuiwFaU4UQoQ2RQ+HGQb0LVvcRr2nn4G2cSOcYjFo1OMkCXw0CvnooxE57VREzvAa9UJD70XTdT04zDibzaK3t7fufC2/8r1YLCKXyw24f2Plu3++Vjqdrqt8j0QiY9r8Rqa30awCbwu1TYoqcI4TvOASa/q+Ayrr7Yq3N2ywyvoCLDPvhbByXWW941Rh26URVtbzA4o6Bq+sj0MSk5DkFGS5HbLU7l5fd25YFDw/+SrrCSEtZluAUQT0EmCUAL0IaAWg3ONeevaNyrehGSly2BzbwaP/byM2/Hk/eJ7DqRd34di/mQu7V4O+PQ9tcxbmvjKciglmeK9+cgAnC+BjEuQ5MajLUpAXxCGmVbdZcJpyqlVob25A6YknUHn2WRjbt8MulQC/UU9R3Ea9ZcsQWbsGkTVroCxaNKqNeo7jBOdr1Va++/u1KpVK3X6tkVa+JxKJIGy1uvKdTGx+FXhvtRcHKwdHrQp8dnQ2FsQXYEFsATrCHcGSO6oCP7ThK+t7YZh9AyvrvdmwI6+s99/vr6wXhEgQKt3K+lR9Zb0YdWfM/Gr7MaisJ4SMA8YAs+IGIL3UH4oqfUC5171UeoFqFtBybkgyioBRce9nG4BjA8x23/rvewo6Q+LLRVraNxIUpEafadj43Q9fx45XeyHJAt7y3uVYdsrMAbdjjMEpGDD2FKFtzMLYXYCV1cEMO/hdyok8uJAAaWYEypIk1CWpKb8c0M7nUX3tNZQefwLV55+HsXv34I16Rx+N6LozET75ZLdRr8VL6vzK93K5jEKhMCaV77FYLNivRUsIx14mk0EikRjzvXGMMRSMgrvkrtKDXcVd7pK7mirwolEMlttRFfjUMKLKeiMD0yrUVNZX4DgVOLYOp2ZP2JFV1qvuDFddZX0SspSqq6wPZsLEKEQh4pV0TN8X+Qg5IpbRPxukFwGj7M0KHfBmhvqAasYNQ3rBC0NlNwhZmheArPowNFy9Ni8AnOi+5QWAEwBRAaQwIEcAJQoocSCUQoFFkFj/NQpSI0FBanRpZRMPffsV7N+WhxIWcf5Hj8HcFekR39/RbRjdJehbcjC25WEerMDRLMDy/ioKbomF2BGGsigBZXkK8qwoeGXyvqpoHjyI6iuvuFXkL74Ea/9+OJWKWxDBceBDIQgdHQitXo3oWWchfMLxEGfNmpS/wE3TRKlUCirf/SWEjZXvjuMMGrYGq3yPx+NIpVKHrHwnzfvTn/6Ed77znTj66KOxatUqrF69GqtXr8aqVavQ1tY24q9TMSvoq7otd3uKe7A9vx17Snuwv7wffVofCnoBuq0Hs0m1S+44cEF5gyIoiCtxtKltmBmZibnRuehKdGFubC7a1Da0hdoQluhQ6Olg8Mr6Mkwz6y1J7INpZpqqrHdL6YdSX9LBQQDHi96yxHB/AYcU90o6kl5BRxskuc3bGxYN2hLdkg6aeSeTmOO4Qcgoe4Go4AaiSgYo9QCVg0AlWzMrVKyfFXLM+tmghlmhATi+PwD5oUgQASkESDVBSE0AoRQQTgPhdiDS4V6UmHsbOeq+L0fcrzMIKptogv9gPfubBxGN1BzI2/D8q/EJ2YDNsYM8X2ucIRhwk4av0ficb7ANuAOeGB7iPoIogRcF8IIIXuDB8wJ4UQQvCBAEEbwoQJQVKOEwBPHIXqUtZjU86B20G07IuPCTq9Ex78jCKXMYrN4q9G05aJu85YBl020IBADeXQ4oplTICxNQV6Qgz41N2H1WjDGYe/ei8te/ovzY46i++iqs3l6watWdquZ58OEwpFmzEDrxBETPOguh1ashNvGkdTJjjAX7tY608t3fr+UvIUylUsF+rUgkgmg0CkmamH9PJpKPfexj+P73vz/g+jlz5mD16tU4etXRWLRqEWYvmQ21Q8Xuym7sLu5Gd6kbPdUe5PQcNEsLZpMcVr90S+TFYDYpJseQVtPoDHdiTnQOFsQXYH5sfrDkLibHaMkdGRWOY3nLDMv9M2JWyV2OaLj7wywzC9PKu/vDvNvYdtXbG2Y1LEt0MPyyxNGurA/RC0XkyDDmLnELZoRK7vK4ag6o9AClg+5SuWq2ZlaoCJhlNwzZujsj1BiGhtkjWReEeAHgRUBU3TAkR92goyYANemGoYgfhDrd6/0ApMTd2wryYOdDHDEKUk3wH6zbLn0b1Kn6pIrjwIFz9yBxnPsxx8F9hY0Dx3PgeQGCKEIOR5CcMRPtC7owe+lyzFlxNMLxxCG/Raa7jAdrD9q96jjE20f/oF3GGOy8Dn1nEdqGPpi7S7ALBphpu/92vX1WQlyGPC8GdUUa8vw4hERrNiQz24axfTvKf/lLf6NeLhc06kEQwEcikBcsQPikkxB9y1lQjzoKQqz5jePTxWCV75lMBrlcDsViEeVyuW4J4XD7tWRZDpYQNu7XikQiiEQi07ryfdPmTfjuf34X3/2v70JMiFBmKpBnypDbZYhJEWJMBB/iwYkcOIED37Dkdtgq8Ph8LIwvRGe4M9iXJNIr9GQScGfDhqus74NhZr3Ken9v2ChV1oMH/KbEEVXWd0CUolRZP1U5dn8A8pfH6QVvn1CPu0+oknEvegHQ8t7yuDJgVt3SBdYQhtgwLwhwwsAwJMiAGHIDjhwF1Fh/EAq3ubNCsRlAKOkFoFh/aJIiwARcpj8tg9Rrr72GD37wg9iyZQs+8pGP4O677x7RE2f/wfrxzdcirLpVtYP+sRuuG9EDM8jXGfC1B7vNiL70CMbIGJj/ZNK24Nh2/8Wxwbz3bcv9HHP63/cpkShWrF2H0y69HNH04LMiu17vw+//7+vQyhY6F8Rw4TgftGuXDBi7i9A2ZWHsKMDKamC6HTyQnMSDj0iQ5kShLk9B6Uq4hwWPQYEFMwxomzej8vQzKD39NPTNm+EUCmCG4Y3Fa9RbvBiR009D5IwzoC5bNmyjHmmeZVnBQcaN+7UOp/I9HA4jHo8jmUyira1tSlS+M8ZQMkvoq/bVVYHvKe7BgcoBZLQM+kp9KFaL4ATODUs1P1OZw8As9+KYDkRTxNzUXKzuWo1F6UXoSnRhVmTWuFaBEzIZHKqy3jSzbhBrVWW9nKo5NyxVsywxQpX1o40xN9D4AcgPRVrOnREq9bj7hCp9NaUJXtOcWQUsvWY2qGa/0JC4mj1CNfuFRNULQhFvCVzCDT7hNneJXKTTnRlSEw3L46KAOPVC+bQLUrquY8WKFTjvvPNwzTXX4KqrrsL69evxwQ9+8JD3pT1S7jlEpqHDqFRQzmXRs2sH9m/ZhP1vvIre7n2wHRtyKIylp67BWe//MEJRd7aEMYbXHtuLp+/dAst0MP/oNpz3kaNbftCuo1sw9pWhb8xA35Z3z7TSbcD2/jqLPPhRKrBwymVUN25E+fGaRr1yeWCj3ooVbqPe6ae7jXpTdfZzEtF1PQhb2Ww2mNnylxBWq1VYljXoEkJg+Mr3trY2pFKpYAlhKyrfNUtDn9aHvmof9pX2YXthO/YU9qC73I0+rW9EVeACBJTyJdgVG1begpW1YPQY0PfrMA4asAs2zj39XFz9T1fj3HPPpaVGhIyx/sp6f2/Y4VXW98+EjWZlvbcsUU5DkdshSW2QpIQ3YxYJZs44bopV1g+o0i71zwqVDnjL47zSBK3gBaayNzNUHViYMNJZodqZIUHxlsf5s0IJ9xJOA6G2/iVy4XTNjJC3Z0gKj8nyuMmsZUFq06ZNWLZs2WF/w8N1//3340Mf+hD27NmDcDiMl19+GZ/4xCfw5JNPHvK+FKQGkckA73kP8L//i+5UHE+tWoG9M9phcRxi7R244KrPYtaSlXjyns14/XG3a/+oM2fjzHctBS9MvFepmOXAPFCBtiULfXMO5oEynOowBRbLUpBnD15gYedyqL7+OkqPPYbK8y/A3LOnvlEvFIKQSiF09NGIrFuH8EknTohGPdK82sr3UqmEvr6+oPLdX0LYqsp3y7HcGaNqHw5UDmBHfgd2F3ePuApc5ER3b1JNFXhnqBOzo+6SuwWxBeiMdCLKRfH7B36PO+64A5s2bQruH4/H8eEPfxif+MQnsHjx4iN7oAkh42aiVdYHVfRiDJKU8toSayrrpVh/WPP2iI36bFhQpV2q2StUdINP+SBQqq3SznvL40r9QcjWMVyV9gAcP0gYEmuCkLcHSI0Dql+a0AZEZ7hv62aFooAcc0sXyKhpWZAKh8NYvnw5Lr/8clx++eXo6uo67G/ejFtuuQXPPvssfvOb3wBwX7Fpa2tDJpM55H0pSA3i/POBP/whCAcAcDCVwMN/swY9Ig9RVpGc/Tco5ldAkgWcfulirHrL3EnzChNzGKy+KvRtebfAYm9p0AILIaVC6uABHIT26tPQXvkLrP0H4FSrdY16YmcnQse6jXqh44+HOHPmpHksyJGxbTvYr3Wkle+yLAczWKF4CFJUAsJAlmXRbXaj2+jGQe0gMtUMiub4VYHv2bMH8+fPB2MMy5cvx1VXXYUPfOADiEajo/54EkImthFV1gdBrKay3q7AcXQ4zALQuCzxcCrr3dmwoLKej0HmI5A4FTLCkKBCsjmIWgWCVoRYrUCoFMBXC+D8djl/VsiqKU2o3S90yCptLwD5oai2SluOukEolAJCafcS9drjQimvYS7mhiAl6i6to+cNE0bLglS5XMZvf/tb3H///XjooYewdOlSXHHFFXjXu96FefPmHfZADuWf//mfoWkavv3tbwfXdXR0YNOmTUilUnW31XUduq4HHxcKBcybN4+ClG/TJmD58kE/ZfE8Hr71S9j0+psA4yCq83Hh1R/HouNmj/MgR1dQYLEjj8rzO6Fv73ODlWW40+uMAWBg1Syc8j5wYhnK0k5E33IawqtXTZtGPXJ4/Mr3crmMXC6H7oPd6O7tRqaQQbFUhK7psB0bNrPhMAcON/DVXeb9zxAM6IIOQzJgSzYEVUA4GkYqnsKstllY1LYI82LzRrUK/L3vfS+2bt2KW265BW9961sn5X4wQkjrDV9Z3wOzuh+mdhCW3gfLyMO2irCtEhy7CpvpYMzq/53MHHCMAYy55cXDPFutjSccAwSbQbQZeBsQbUB0AMHmIDIBAiRInAqBj0CSYhCkOEQlDSHUASE0C3x0RtNV2mTyGa0g1fQ8YSQSwfr167F+/XpYloX/+I//wOc+9zlcc801WLNmDe68806cccYZhz2gIQcqigP2IKiqikqlMiBI3XnnnbjllltGfQxTxtatg17NAGxcdj66u0+FoHbA0Z+CWXkVz/z8K5jZdRPCieS4DnM0MMOAvm0bys/8GeWnnoK2aSOcfAFM18HJUfDphRA7lkJoXwo+0glE2iF0HAWO58EcHuXnJBh7DyC03ITclYCYVsekwIJMHqZtBvuSusvd7pK70hBV4LIJJ+UADBCZCNVWEbEjCDthRJyI+74dhmqpkCwJvMMDFgAd4JjbxMl5zZuCIKDMl7FB2oCdoZ0DKt8TiUSwhFCWm9sYfMUVV+Ciiy7CZz7zGXzqU5/C+9//fkRqj4oghJABVdpl962Wd5fHlXvAlfsgVDMQqjlAz/fvKTKr3gGrw1dpOwBskYMtcLAEHrYkwBIEWJIAS+Rgibz7viTAFHlYwW0Bm2dwOIBx/gtT7otW/t5Q5v/q5mwAZe/SV78k0RLA52XwJbVmuWHMOzss6S5NlNu9yvpkcHCzX9RBlfXTz2GVTWzevBm//OUvce+99+L111/H29/+dlx++eWoVCq49tpr0d3dPeoDveuuu/Daa6/hv//7v4PrkskkNm/ejI6Ojrrb0ozUITTMSDEA+2auxp9P+RAOdq4Ek0R0HduB1WcpeOgbd6DY14t4xwxc8vkb0TFvYcuGPRJOpQJtw0aUnnwClWefg7FtG5xSCcwvhpBl8LEYlKVLETn9dETWroGydCl4RXEPCt5Xgr4p6xZY9FQGFliERUgzI1CXpaAsTkLqDIGbgHvGyOFxmIOslkVvtRc9lR7sKOzAruIu7Cv170sqmSWYtjnovqTBqsA7w52YFZkVVIHPiMxAm9o2oArcr3wvl8soFAoDKt8rlQp0XT+iyvdYLBaErdrKd8dxsGDBAuzZsweA+7PV3x81Xsu3CSHjwD9gtfZMIb3o7g8qHeyv0vb3CukF9zZmGTA1wDYHtseNapV2Ggh3ANFOIJxqqkq7ucr6nLt00Sq5e8OOtLKeEwDw4Dn3AGdeCHnlG1GvKTEOSU5DklKQpXavLTHqni0WnB8Wpsr6cdSypX3HHHMMtm3bhvPOOw/vfve7cdFFFwWvXG7fvh0XXXQRXn311cMe0FD++Mc/4qMf/Si2bNkSfK+jjjoKpVLpkGfA0B6pgdj556P0zMvoSS3ECye8H71ti+EIEhS7ilPfdyyOWTcHHMehlOnDvXfdgp4d26BGY3jHJ/8ZXcef1OrhB+xcDtXXXkPp8SdQeeF5mLsbiiFUFUIqBXXlSkTOPAORk0+G3NUFbgTnBjHLgbG/DH1LDvrmLMwDFThaQ4GFKkLsDEFZnIS6LAV5VgScRFP/E5FfBd5b7UVvtRe7i7uxI78De0t7gyrwgl4I9iWZjll3fw4cJMHblySoSCgJtIfaMTMy092X5FWBt4fakVbTY1IFPpqV74qiIBKJQJIk3H///ejt7cW+ffuCJYrVahUcx+Giiy7CVVddhb/5m7+hV1oJaTXG3JkdveS1yBXrq7TLvfUNcn4QMspu2YKlNxQmWE1UaXv7hfwqbSncvw8oqNL2ShMmYZX24VXWl2oOcB6NynoJgneAsyD4lfWJIIi5JR0dEKVkQ2W9W1tPlfUj17Ig9eMf/xgXX3wxYuN8mKhlWZg9ezbuuusufPCDH8Q//MM/YP/+/XjwwQcPeV//wdr62h7EYkM/WCN5KAbcZASPXmPl8IjvN7LDpuA4DI7NYFkObNOGbTJYpg3bdGAZDmzLgV4xUS2Z0MsWynkd5YwGs1iBDQGM46FqeazUN+D4f/kHhObWz/AZWhUPff1ubH/xeQiSjLPe/yEc97YLRjC40cUYg3XgAKovvYTSY4+j+vLLsA4MLIYQOjoQWrUKkbPOQvj44yHNmT0qTwCZw2D1VqFvzbkFFvtKcCpWTYEFB04RILapUBYloC5PQ54TBd/iqvjpwq8C7632orvUje2F7dhd2I395f3o1XqR1/PQbT2YTRqsClziJciCjJgcQ5vahhnhGZgTm4MF8QWYF5uHjlAH2kPtiEiRCRsqBqt8z2azyOfzh6x8Z4wF11uWhWq1GsyQiaKI008/HW9/+9vR3t6OaDQKWZ5iFceEjIdBq7SL7uGq/qWaAaq5/lkhqtKe0FpTWS94wam2sl71gljEbUuUEt6MWNKrrPfODhPj3rLEcBDGplxl/SFMu3OkAOBXv/oV/u7v/g6hUAg8z+PRRx/FUUcddcj7+Q/WVz/yIELyEOv+G8/QHYXxHvKbjNJdWLNfmgNEiYckCwiHgEXpKo49dwGUVYMXUACA49h49Ec/xMu//w3AcTj5nZdh7eXvG9N/dMxxYOzcieoLL6D0+BPQXn8dViYDpmluyuR58JEIpNmzETr+eETfchZCq8avGIIxBjvrFlhoGzMwdpfglAwww/uFxvnNgAqUBXGoK9KQ58UgRCfmq3ET2WBV4P6Su95q74iqwCXBXXLXWAW+IL4AC+IL0BHuCJbc8VP4Vb3GyvcnnngC9913H2RZRjweRyQSgaIoEEUxmMGq/XfuOA44joMsy1AUpa7yPZVKoaOjI/g60Wi0qcp3QiaF2irt2mVylYy3V8ibFapkapbHFcemSrt2VkhNNFRpdwLhdqrSngSGr6zvgWFmxrCy3t8jVltZ7zUlSnGIYhKylHKXJXpnh7nLEiM1yxIn3wHO0zJIAcD+/fvxwgsv4LTTTkPbCJ8w+w/WD679A8Lq8BuoDycYjOguI7jRSL914xh5gQPPc+BFDrzAQxA48CIPXuAgiDwEkYMclhCOSQjHFUSSMhIdYUSTSlPFCYwxPP/gvXjq5z+GY9s45qxzce4/fAL8CJbJjejrD1MMAQAQRQjRKKSFCxA+6WRE162DetRKCBOootkuGDB2F1DdkIWxswA7r4MZdhB0OVkAH5cgz4tBXdEGZUEMQkKZVq8CNXKYg4JeQJ/W178vqbALe0t7cbByEFktO+Iq8JAYQlJJoj3UjlnRWZgfc/clNVMFPh098MADuOSSS4KPOY5DJBJBJBJBLBbDzJkzsWTJEnR2diIajQbLqR3HGXHlu79fq62tDW1tbcF+rXA4TC2BZPxZhndOUKlmeVwhKE0IlsdV/OVx/qxQpb40wd8vdNhV2iE34NRVaafcWaGhqrTliHu/afx7g9SbqJX1kpiEKHlBTG6DIndAFOM1+8fctzw//s+Dpm2QOhy0R2p0vfHEn/CHH3wbpqFj8Qmn4IKrr4GkNL8fxC6VoL35JspPP43Kc38ZvBgiHoeyZAkia05HZE1/McRk4VRMGHtL0DZkoO8owMpU3QILf9JK4sFHJEhzolCXp6B0JSC2haZUM2DFrKC32os+rQ97i3uxLb8Ne4p7cKByAH3VPhSMgrvkzgtJtUvuOHB1S+4SSgJtoTbMDM/EnNgcdCW6MDc6d1SrwKebXC6Ho446KigJ6urqwurVq7Fq1SqsXr0aq1evxpIlSwbsRTVNM1hCmMvl0NvbGywhLJVKA5YQNv6q8YOWIAhQVRWRSATxeBypVAptbW1IpVKIxWKIRCJQVXVav9hABuE4bgFC7axQ3QGrPV5pQqa+NMEoA1bVbZ9rbI9rdlZIkPpLE5SoV4zghaFIW/1eoboqbe8tVWmTCWD4yvo+mIYXxIK9YcX+vWF2FQ4zagKYEyxPHBpfc3CzfxGD2TB/lstdkpiAKKXclkS5DbLU5s6Aif0zYoIQAc83P8NKQaoJFKRG385XXsSDX7sLermE2ctW4tLP3wR1mJkhxhis7m5UX34FpSefQPWVV2F1d7v7m0ahGGKycIyaZsCteVg9FTiNzYAhAdKsCJQlKahLUxO6GdCvAu+t9mJ/eT+257djd9HdlzSgCtwx4TSs4xd5MQhKMTmGtJpGZ7gTc6JzgiV37aF2tIfaEZNjU3rJXas88sgj2Lx5M1avXo1jjjlm1H5GMsag63qwhDCbzaK3txe5XA6FQgGlUgmapgVBq3G/lt9CyPM8JElCKBSqW0LY1taGZDJ52JXvZAKwdG9/kD/bU3L3BdXOCvnL47R8/xK6xirt2iVyw+wpGdAex4sNB6zGvFmhpHu4arjdmxXq9JbHebNBSsy9CDLNCpFpz3Esb5lhuX9GzCrBMPtgGu7+MMvMwrTy7v4w7zb9JR1Ww7JEB8MvS6xdjujtDeNk8ELIW5YY85YlJiCJiYbK+hQE0d0/Vi4zdHYupiA1EhSkxsbB7Vtx75dvQTmXQdvc+bjsulsRa2sHULNM79nnUH76aegbN8LO58GqVffOPA8+FII4YwZCq1YhfMYZo1oMMVkwy4F5sAJtcxb6lhzM/WU41cZmQAFiRxjKkqQbrGZFwMtjHy5rq8APVg5iZ2EndhZ3uvuSKr3I6BmUzfIhq8AlXkJICgVV4LOjszE/Nh8L4guGrAIn00Nt5XuxWAxaCMej8p2MguGqtMsHgXKft0RuiCptxxzYHnfYVdrh/uVxQ1Zpx9wZoxFUaRNCxl4rK+srFeDCC96kIDUSFKTGTv7gAdxz+43I79uLeCyOdQuWQ3pjA8ydO+GUy/3L9CQJfDQKecEChE46CdEz1kJduRJCItHiP8HEEjQDbvOaAfcO1gzIQ0yHoHQl3AKLuc03AzLGUDSL6Ku6s0m7C7uxo7ADe0p7cLBy8JBV4Dx4iILY0ipwMj34le/lchn5fD5YQpjL5Q678j0ejyORSKC9vR1tbW2IRqOIRqNQVXV67dcaUKVd6j9gtdSwV6jugNWhqrRHOCtUF4bE4au0g71CnZOqSpsQMvaGrKw3+9wgNkxlfbFYxjve/iIFqZGgIDW67Hwe2pYtqD73HCp/fRGFrVvwkgKUZBGi4+Covb1IMx5CMuku01tzOsInnwylqwscLb9pStAMuDMPbWMWxu4inOIgzYDJ+mZAI2Sjr9qHPq0P+0r7sD2/HXuKe46oCnxmZCZmR2ejK9GFOdE5k6IKnEwPhmEESwhr92v5SwiHq3wH+vdriaIIVVURjUYH7Nfyw9aEq3yvq9Iu9+8VGkmVtlV7wOpYVWmn3T1CVKVNCJlA8vk8kskkBamRoCB1eJjjwDpwAPrOndBefRXaK69A27QZdm8vHE3r39skSbAjYbw2K40ezgGvqjj7yo9i+dvePrGecEwRer6CzNZuFDcegLm3DBRt2LYFGzYszobF2+gVc9gW2oMN6nZsUnfioJgBvP8UQ1WBz4nOwfy423LXHm6fFlXgZHpgjKFarQZhK5PJoK+vL9ivVS6Xoet6ELaGW0IoSRLC4TAikQiSySRSqRTa29uRSCQOr/J9pFXa1aw3KzTeVdopb68QVWkTQqYOKptoAgWpoTHThNXXB6unB+a+fdC3bIWxfRv0bdth7d8Pp1rtP7cJAEQRvKpCnNEJdcVKhE85BaHjjoXc1QXGc3j421/Dxj8/AUEUcdb7P9ySg3sns9oqcH9fUm0VeEbLoGSW3OV2tgmLWYjYISyqzsVybSGWaQsw15gBnvHgwUFkAnhOgC070NMMSlcCsSUdSM5yZ5OoCpwQl23bqFQqKJVKg+7XqlarwX4tx3EawhaDwHMQvYsq8YjIPOIyQ0KykBR1JPkKYnYOUSeHsJkBb/qzQvoYV2l7s0JDVWkrUXdpHb3oRQiZRihINeFIH6wBD9FwD9mhbtvE12IAYNtgtgM4NphtA44DZtn9H9d+3rLADANM1+HoOpxyBU65BLtQhNXXCzuThZ3Lwi4U4BRLcIpF2MUimGm6e5msmvN5OA6cooAPhyHOmAFl8SKoq1YhdPzxUBcvBh8Z/Dwu5jh49L//HS/976/H7eDeyYIxhopVCfYl7SntwY78DnfJXWU/MtXMyKrABQkyX18FPi82DwsTCzEnOgdtYgrxbAjYVoW+Nec2A2q1zYAc+JAIaWYEytIk1CUpSJ1hcCLNPJFpatAq7YI7A1Q84JYnVDIwy1m38r2qo6DZKBociraAsqOg5KgoIwQLAhgAhoE/8zjv3zMPhjA0RFFBlNMQ46uI8gZiko2YzCMSEqGqEXChRE1pwlBV2l6THFVpE0LIiFGQaoL/YD1/4kmIiuLwQQg49OePRLNf2789YwDznlZ776PhfcaY+4TAfzscQQAnCOAkCZyiQEgmIXZ2Qpo9G3JXF9RVx0CZPx/izJngmtx8zRjD87++F0/97MdwbAerzn4rzvnwP4Gf4r/oTdsMzkvqLndjR34Hdhd3o7vcjd5qL3J6DlWrCsuxhq0Cl3kZUTmKtJrGjPCMYF/SvNi8oAo8LsdHHE6DZsAtOeibs14zoA1Y3vevbQZclIC6PAVpVnRcmgEJGTWNVdp+acKgVdq5/tDUWKXdTGlCQ5U2ExToUhwlIYUSn0SBjyFrR1CwVRRsCUVTQMXiYDmA7TBYjvsz3YH7M5bj+EEr3+PxONLpNFW+E0LIKKEg1YQgSK0+FtGh6m/HYsZkNL6m/zU4DuB598kzz7vvN7yFwIOXZHCK4h5mq6rgVBV8OAwhnYKYTkNsb4fQ0QkhHoMQi0FsbwefSIzJjJF/cK9l6Fhyyul4x6eugShNzqVkjVXgOwo7sKuwC/vK+9BT6UFWz464CjwshZFUknVV4AsTC9EZ7hyXKnDmMFh9Vejb8v3NgGVz8GbAhV6BxZwo+PDk/G9HBrJtG5/61Kcwb948rF27FieffDJCoVBrBzVUlbZfmFA5RJV2UJpg1RywerhV2pGaKu3EEFXa8ZrihJFXaTdWvvf19aGvrw/5fB6FQoEq3wkhZBxQkGqC/2D17dgx5IM1bJCo/Vzj7Yb7XP0Nh7zbsF/TD0qC0PTM0ESw46W/4tdfvwt6pYx5xxyLSz57PeRQuNXDquMwB0WjiN5qL3qrvdhV3IWd+Z3uvqTqQWSqGRSN4rBV4H55gyqoSCpJtIXaMCsyK1hyNzsyG22htglZBc4Yg53Xoe8oQNuQgbGnCKdgghleGKxpBpTnxxFakYY8PwYhRq+GT2Y///nPcfnllwMAJEnCCSecgDPOOANr167F2rVr0dnZ2dwXHFCl7TXJaTmvSru3pko72x+EhqzS9vcKDaW2Slvsf19UvSAUaajSbnPDkL88bgJXaVPlOyGEjC0KUk2gsonW6t68Affd/SVUC3l0di3BZdfdgnB8fM6P8s9LylQz6Kn2YE9xD3YW3JB0oHIAfdU+FI0idFsPltwdqgq8PdSOGeEZmBOdE+xLmmpV4HbJgLG7CG1DBvqOAuyc7gYr76HhZB58TIY8NwZ1eQrKwgSElDIl/uzTRS6Xw9lnn40XX3wxuE7ggJgCxGQORy9dgDUnrsZJxyzF6iVzMDsugKsNQlqhvkrbrNbPBo1JlXYbEGn36rTb+osVpmGV9mhWvodCoSBspdNppNPpiV35TgghI8AYg2kz6JYN3XLci+m+35fN4cyjF1CQGgkKUq2X2bsH99xxI4q9PUjNmoPLrr8ViY4ZR/Q1a8sbMlqmrrzhQOUA+rS+/vOSvJa7xpDk70uSeAkxOYaUkkJHuCOoAl8QW4D2sLsvKakkp20VuKNZMPaW3GC1PQ+rTwPTbcBxH09O4sGHRUizo26wWpSE2B4Cx9OTr3FVW6UdLJErusHHnxWqunuF/vDQvQhxBmIKh6gMhCUOsgCIPAeBAwQeEL23Qz6JHq5KO5gVitc3yEXa3VmhcLt7PVVpj4mxrnzv6OhAPB4/vMp3Qsi0NlzA6X/fRtmwUdIs92JYKOsWyrqNqmmjYljQTAeaaUM3bWjefQ3LgWm7F8tmcBiDw+C9ZW6NAGOwtAp2/Ou7KEiNBAWpiaHY14t7br8Rmb27EU2347LrbkH7vAVD3r5qVYNDZfeX99cfKlt1D5Wt2sOUNzSel6Sk0B5ux6zILCyIL8CC+IJx25c01TiGDXN/GdqmLPQtwzQDzohAWZKEsjQJeUaEmgFHwjIG7hXSCl5pwkG3MKHS550plO8/U2hAlXZNecIQpQkOY7Ad9z+b7bj9IzZj0CygYjKUDMDkVSQ752HW4qMQbZ/nLY/z9gqpSarSnsRqK98LhQL6+vrqKt8rlQoMwxii8r1+CaEsy4hEIsF+rba2NrS1tQX7tcLhMC0hJGSC8wOOYTcEG8uGbrrva6aFquGgqJso6W7IKRs2yrqFqmGjYtjQLBuaaUMz+7+OYfeHnMaAw2qCjsPccThNpBMOXpUAx3kX98Ug3ruO4wGB4yAJPGSBhyTy4K0q/viFd1CQGgkKUhNHtVTEvXfchH3bNkKORbHqw++B3iljZ3Enusvd6C51o0/rQ07LoWJVghrw4cobQlLIDUmhdsyKuvuSuuJd6Iy4IalNbaPzksYYsx2YB6vQt2Shbc7B7C7DqVp1zYCcIkDqCENZnICyLAV59hRtBhxQpe0doFrxZoUqNQesajlA8wKTUQasKmAbA9vjDnXAauO5QoJ/wGrECzq1pQltQLgN//6zB/HUyxvx2qadKBpAUWco6AxlE4jFE7j88stx5ZVX4vTTT6dlXdOYaZpu5XvDEsJ8Pj/oEsLGpxR+0BIEAaqqBksIU6kU2trakEqlEIvFEIlEoKoq/V0jZBCMuS2fxiDBJpjVMR2UDQsl3UJZc9+WDAsV3ULFCzhV072fFoQkG4YXckybwbQdOM7gAaf//ebGztcEnP6w0x90BN4NOJLAQxa9i8BDkXioooCQxCMkiwjJAiKygLAiIiqLCCsCYoqIqCoiIotQJB6KKEAR3beyyLvvS+7XE4X6F3Joj1QTKEiNH93WkalmkNWz6Kn0YFdxF/YW97qzSFovsloWlUoRR70kIZ0RYPPAX1Zmsb9dC74Gz/FBSFJFt7yhI9SBmZH+85JmhmdO2PIGUtMMuL0AbWNmkGZAt8BCTKtQFibcZsC5E6QZkDE3zOjFhlkhr0q71OOGoWq2pjShWF+aMApV2hDV/gNWlag7++PvFQq3efuEOr3ShFj/Mjol6h7OOgKXXHIJHnjgAQDu7MJ5552HK6+8EhdddFHrW/zIpMAYg67rwRLCbDaL3t7eYAlhqVSCpmlB0Grcr+UvIWysfE8kEkHYosp3MpFZdv+SssZg47/vLkmzUPSWppV1C2XDQqVxmVoQkOoDjmU7sJ362ZrRCjhDzeQIPAdR4CEJHGQv5PhBRZUEqBKPsCwiJAkIKwIisoiIIiKiCIgoImKK+7EfbNyg0xByxIEBZ7xQkGoCBanD5zAHFbOCvJFHXs+joBdwoHIA3eVu9FR60FvtRVbPIq/nUTJKqFgVWI7lXpg14OtJvLvUToKI416PoqObBw8ezhkLMPOkY7EgtgCzorPQFnJnksLSxGr4I4fHbQY0YOz0mgF3F2EXjIHNgAkF8vwYQivTkOfFIcQP80mT43jNcaVBqrQP9p8pVMl4QaimQc6qArZVvzRupKUJI6rSTtcvjwslD7tK+0js2LEDixcvxsqVK3HllVfive99L2bPnj2m35NMT42V7729vQOWEFLlOxlttsOCQNIYbPwZnYphoai7+3DKNTM4ZcNG1bBRNSxUG2Z+jIZ9OLZTH2YGW6rWjMECTu1MDh/M4AwMOIrkhpyQJCAsexdvBieq+LM4EsKKAFXqn73x71sbckSem9IzxBSkmjCdgpTt2DAcA4ZtwHRMGLb7vt9K53+ualWR03PIallktSzyRh5FvYiSWULJLKFiVlCxKqhaVfdcJMeGxdyANBiREyHw7nI7RVAQV+JIKSl0hjsxKzILc2NzMS82D2k1jbSaRlJJQuQE/PE/v49X/vBbcDyP09e/B6dcvH5K/8Ml/YJmwI1Z6DvybjOgXtsMyEGIcJBmCFDn81DaDQhiDlylx50Vqnp7hbScu4fIqD1gVa+ZDappkhsS1z8TxNXOCin1pQlK3D1DKAhDnd6sULxmr1B0QlVpD+Uvf/kLeJ7HCSecQP/mSMv5le/+fq3RqnxPJpPBfi2qfJ8YHIcNOXMTBBzTRtEPN7ofbvqLBqo1y9RqCwvMYBbHgc0YmIMB+25qZ3KaeQLcuO9mQMDhOIgC179ETfCXlvXP4vgBJyS7szYRWUBUdUOO/7EqiXXBxp+58QOTJEztgDNeKEg1wX+wrrz3SsgReUBzW+NDcKjPNxpw+ya/PuDO/PgXxhhsZvdfh/rrGWN119V+7H/ev67uLXPAwAaUMjTiwEHg3KUWfkBSBRVROYq4HA/OSeoMdWJmZCZmRGYgpaQQV+JoU9sQEkMj/kfOGMOz9/4Mf773p2CM4fjzLsRZ7//wpDwzizSwrYGzQlreXRZXqpkV0twDVp2qAaOUgFGZAdOYC8ueBYbaV5YZeJQh8Vshc5sh85shcnvBcd7f50NVaSsxNwiFkv17hYIGuXT9eUJKzL0f/bIiZMLQdX3Q/VqjVfmeTqeDFkJFGdny2KmkNuDULlPTamZkqoaNkm6hqFmo1LSouXtwrCDkaJYDw7uvURNuTJt5S9SYuxcH7lLwIwk4jWFmsKVqklC/D0cReag1ISckC8EyNX9pWlR2999EVRFhyZvBkfqDTd37FHAmHQpSTfAfrJXfXQkhNHGn/Dnv0F7/H2Ltx8H74NxlUBj8Nv5bnuODQgZ/pkgWZMi8DEmQIPMyIlIEcTmOuOKGo5SaQlpNI6EkEBbDCEth9/NyfMzLGl7+w8N49Ec/gG2ZWLH2LJz3j1dDoDrd1hqqSruS8ZbI9dSUJuTdi1+aYFYBW6/fIzSS0oSaMMSgwmBdMNhSGOZimNZcMEcGYzwA3j2sWuIgJR0o88OQu6KQZybAhWsCEVVpEzJtOI4DTdOC/Vp+C2E2m0WxWES5XK7brzWSyvfa/Vp+5bu/hHC8Kt8dx29Rq599qZ3R0UzbbVGraVAr15YMeDM4mlcrrVsMRsM+nCDgNOy7cWqWrh1uwBlqJkfk/Rkcf5mau/dGkQSo3ixOsERN7t9/E1VExBQJEYUCDjk8FKSa4D9YD7z6ACKxCICB56IM+Bj1HzeeH9Ts5wdo+DTPuXuFeI6HwAv9s0IcP+DiX89x9bcROAGKoEAS3KKGyXbm0ebnnsbD3/k3GJqGruNOxDs/fS0khYokjsigVdo1pQnemUJ1Vdp6yStN0LwA1HDI6nC/SuuWxnkzQ6LiHpQq+w1yCW9WKN0/KxSd0V+a4J8n1FClzWwHVk8V2pYctM1ZmN1lsIoF5jcD8hw4VYDUHoKyKAFledptBlQm7osnhJDx1Uzl+6GWEMqyjFA4gnAkinA0hmgihUg8AVGJgJdVMFGBbjruDI6/RM1bnlbRLVTM+oDjz974M0L+DI41RMBhtUGnicdg5AGHq5nB6V+epkg8QpK7PC0suXtwIooQ7MOJqW7AUWr34NQUDfjvywJPAYe0DAWpJkynPVKT3e43XsWvvnoHtFIRs5etxKXX3gQ1Em31sFpnyCrtTE2VdqamStvfK1Rxw5BjHmaVtljTICcBkjpslTai3gGrQRCK9jfJ8WMTZJjDYGU0GNvz0DZmYOwtwSkN0gyYUqF0JaCsSEGZG5sYzYCEkDHDmDeDU7P/pn+pmnuujWbaKOs2ipp7Fo6//6ZiWKhoBrRqBaZehaNX4OhlcKYG3tYhOQYkZoADc2fthxqDewtoTESVSahCQpVJKDM5+FhjEgwIQLDCxC0S8N8OtlRN5N19OHJQFe0HnP49OLWzOBFv703Ua1GLKiJUubY1TRiwH0cWePB0mDqZ4ihINYGC1ORycOd23HvnTShnM2iftwCXXf8lRFPpVg/r8AxVpV3N1SyP63WLE6o5NwjpRTc8GRVvedxhVGnXNcg1VmnH3CAUVGm39+8VCiW9soTmq7RbjTEGuzBEMyBDfzNgXIY8PwZ1RRrKgjj4mEyvihIyDvzDPuuWp5n24AHHO+zTX55WrqmJ9vfg6OZge3DcWZzhzsDxPx4pDo2BhkHmHYQ4E2FYCHEGQjAQgokQZ0BhBhSYQdjiGAPAvMl15i6/592LwIuQFAVqKIxINIZ4IoG2dBrJZAKJWAyJeAzRkBqchUMBh5DRQUGqCRSkJp/cgf345e03InegG/HOGVh//W1IzZzVmsHYZn8AMsr9S+Vq9wmVvb1Cer5+Vsiquvdv3Cd0OFXawQGrMS8MJd1ZoUi6/0yhAaUJ41OlPVHZZdNrBszA2FGAldUamgF58FEZ8two1OVpKAvjEFIqOHqyQqaRoQJO/74cB5rp7r0paZZ7MfpDTrXmsE/NtN2A47eo2f1V0ZbN6sLMUEvVRooDBi0W8CuieY7zDvvsLxqo3UejeiUDbpOaiJDMIyKLbl20IiLmtamFZKGuPW3AUjVxYMCprXwfagkhVb4T0joUpJpAQWpyquRzuOeOL6JnxzZEkilceu3NmNG1uPkvNGQQ6u0PQjXtcdC8mSPTL00wmitNAOfOAjXOCkmqt1eoZlYolARCbfV7hfzlcZOoSnuycDQLxt4StE1ZGNvzMHuqbrDynr1xEg8uJEKaFYG6PA11cQJiexicQMGKjD/G3P0xA2ZuapaqaaaNSs0Mjl82UNEtbwanfg+O/3VqW9RM23Eb1AY5A+dwDvtsDDgDWtV4QOC8/TcCD0nk65aaqTV7cILzcLwWtYjitqjFFDf81FdEDzz0U5jAL4oMVvmeyWSQz+ebrnxXVRXhcJgq3wkZIQpSTaAgNXnplQruv+sW7N34GtRwCBd86ANYsHD2OAShhhmhxtKE2jDk7xOKtLlBKJSiKu1JgpkOjP0l6Jtz0LfkYB6owNEswPZ+LAoc+JAIqTMMZUkSyrIU5JkRcOLkfkJi27b7yj09sTpslu3Ut6eZA0NO2SsZKGtu0YB/2GfVcIJlaprXuFZ7X79FzfIO+xytgANg0GKB2pkcge+fvZEErr9oQOKhigJCEo+Q7M7SRIImNbdsIOaFnEhNwBlsL44s8BAF+rs3ErWV79lsFn19fchms8jn8yiXy1T5TshhoiDVBApSLcKYG2SMcv+eH79OW8s1FCXk3SKF2hBkVACzCtM08OjuGdhTioLnGM7o3IXF0d5hvvFwQSg0sDQhnHZnhSLeXqHG5XF+cKInnVMesxmsngq0rTlom0bQDLgsBXlOFLwyuWrWLcvCOeecg5kzZ+Lss8/GOeecg8WLF0+JvWK2wwYEG790wLC9wz4N9xyconcGTtkrGwhqog0LVdOBZtl1ZQWGtzzNrAk4gx3yeSQBZ6iZHIHnIPrhZpAmNVXig3NwworgLlGTBfegT9UtGogoYt3MjSwMPPSTAs7kMpaV7/4SwlZUvhMy1ihINYGC1DAYc8sMbNNteLMMd1+PqdW81dxwU83VhJ2a8gT/3CC9ZhZowDlCTk1rnIPhj9sbGIQcCHiyexY2ZyMAOJyymMOqJYma9rh0fWGCEuuv0PbD0Bi1x5GpizkMdlaDHjQDluGUDDDDPwQY4BS3GVBeGIe6Ig15bgxCZOI3A/7qV7/CxRdfHHw8b948nH322cFl7ty5o/r9bIcF1c61bWq1MzoVw0JRd/fhlGtmcMqGuzStvyq6/76G5dRURTuwGQNzBhYLHO5hn4cKOHwwg1PTpCZ4e3BqmtSCs3AUERG5/iycsH8WTk04kmv28igiD5Gns3DI4Rms8r2vrw/5fL7pyndFUYL9WslkEul0Gm1tbcF+rXA4TDPdZFKgINWE4MH6w78hHgkBaNjoP+AhYMN/vrEoYMD9Gz/fOKJB7u84AGs4r2ewtjZWe51TX17gWP3XOZa7pM02vJBk9b8NLn4DnOOOgTH3fcdxv07tZURPPfwAVHOwKsd7rXEKIIYAOewuj1Nqlsapyf69QpE297pg1qh/VoiBwxM/+RFeeOgBgANOfudlWHv5++jJBRk3jDE4BQP6Lq8ZcNcwzYDz3GZAeUEcQnxiNQOapomHH34Y//iP/4h9+7rBiTI4UXLfCu7b+YuW4MSTT8WxJ5yIFUevhqBGUPSWqFVq6qL9/Te1TWr+kjfTn8Vxag77HGYmp9mAM9QZOP51Ys05OHJj0UBNwAn5NdE1AcddoiZAlcS6euj+pWp02CeZOkzTRKlUQrlcRi6XQ29vb7CEsFQqoVqtwjRNOI4zaNjyg5a/X8tfQphKpdDW1oZ0Oh3s11IUhf7NkJajINWE4MG6Noa4Ms3+8XI83Gd33gX8EO9zXgDi3YY4UXYrswV/OVyoZn9Q7R6heH+DnJqoWQoXdsOQHK47VPVIMcbwwkP348mf/hcc28Gqs9+Kcz78T+Bptom0iF02YewpusFqsGZAiQcflSDPibqV6wsTENKHbgZ0HFbTmtY/c6OZ9ftyirrptqh5VdHuWTheTbQ3e+Puwak58NO0sXPPXnCCN/PrHfDt/jxwfy5wXP/PB66Jw70HFAsMEnRqW9TqgklNk5q/TC2ieOFGFhFWBMQU97BP92BQoe6+FHAIGRuMMei6HiwhzGQywX6tQqEwYAlh436t2iWE/n4tfwlhKpVCe3s7EolEELYkaeLP6pPJjYJUE4IH60fvQzzstZ8N+AXb8HHj55u9/SE/zw/8PC/2z+DwvHsoqiB6szu1n/M+FsSa2/Duwam15waJihuKBMm98FLD+97neNF7X540+4DeeOJP+MMPvg3L0LHklNPxjk9dA5F+8JJxEAScQUoGdMuBUTbhHKgAu4qQ9lcQKppglgPGGBgAh+NQFYB9CoedCoctErCLY9Ds+qKBYAan8Qwcp//jZn54NxYLaNWKNxPtjs1f5sts/2KCWSbCiogZ7W2YN3sG0olY/xI1WewPOd4SteECjh+YZIGngEPIFHSoyvdyuVy3hPBwKt/j8TgikQhVvpMjRkGqCbRHamra/tILeOjrd0OvlDHvmGNxyWevhxwKt3pYpEX8gDNgFqfm/aAqWjODFrWy7lZFV2r24OiDNKn5VdGWM/Cwz7qlak59wJEALAKPFRCwEgIWg4cCLngphQHQAWyHg42cjc28gx08g833z+CINWfhNJYMKDVV0WHJ24OjCIjKtUvURKhyfUX0t7/xNfz217/CxjffALMMwLbgT6OtWLECV1xxBS6//HKsWLFiXP87EkKmLqp8JxMFBakmUJCauro3b8B9d38J1UIeMxYtwd9+4RaE44lWD4vUYKx/Bsevha47E8fbY1OuOQunf4ma5S1T8wJOcHsHhuUeGGpYbovaIQOO97mR4lCzNI0ffKmaf9hnUDIQBBw3sAQBx7tEFBFRSUCHydCWNRA9UEUoq4PXHHC2435PngMvCxDaVChdCURXpKHMjYFXR7ctK5fLYd68eSiVSgCArq6uIDytXr2aZo0IIS0xlpXv7e3tSCaTVPlOKEg1g4LU1JbZuxv33PFFFHt7kJo1B5ddfysSHTNaPawJjzEG02Y1+2+GDjh+uHFncPpLBiqGFZQMGKZXNtDQombZzG1SG6Ii+nACTm2Y4TmA4+tLB4TaGRwv5Pjhxq+KdosGRC/gNJYMuOfkKA3BqLE6mh+Fwz6DZsAdBbcZcE9p0GZAIalAWZiAujwFeV4MQvTIDmm+++678Y1vfAPvfve7ccUVV+Dkk0+m8EQImfAGq3zv6+urW0JIle/kUChINYGC1NRX6OvFL2+/EZm9uxFta8dlX7gF7fMWtHpYh6Ux4ASzODX7cTTTrYQuaW57mvvWPQ+nWjODo9XM4uje/hs/5Fg2G7IiunYmZ6QGDTg1FdE8x0HwmtRkgYc0RMmA36YW8c/C8ffgqO7bkLecrTHY1FZHj0bAaRXGGJyiAWNXAdU3szB2F2Hn9fpmQKmmGXBlGvL8OIREc82AGzduxNKlS2npCyFkymmsfK9dQkiV7wSgINUUClLTQ7VUxL133oT9WzYhFIvj4mtuxJzlK0ft6w/eouY0nI0zcIlaxbCDGZzqIAHHDzd+yYBpO0FF9GBn4DR72GdjwBnQqsYDAlffoibXtJ/5szeqt0wt4p2FE5XdAz6jqoiY4s7uDBdwZJGHMIkDTis5Fb8ZMAt9Rx5WRnODlT9pJfHgIxKkuVGElqchL4xDbAsdshmQEEKmK6p8n94oSDWBgtTU1Th7UylX8KfvfhX7N7wGUQ3hqMv/AfGlq1HWLRRr9t6Uhzjos272Jgg3w7eoHe4eHGDwwz5rZ3IE77BPsWYfjh9QVFFASOIR8pahhWV3BifilQ3EapapuUvRBs7c+EvURIFeTZtMHN2Gsa8EfVMW+rY8zJ6KW7lue38BRR58WIQ0MwJ1WQrK4iSkzhC4Efx3vvvuu3HWWWfh1FNPHeM/BSGETFxU+T61jVY2oIWfZFQw5gYN02buDI1tB++bdv/yNNPuLwuoGG6Q8c+7qfqhxm9MMx1oVkPBgD1w/82AvTbOaTglbmNOZQ+e+H//ieeSJ2JLdMmI/yyNNdGNB36KPA+Rr1miVrMHRxbdJWr+7I1/4Ge47hwcP+yINbXQ/cGmf0aHAg4ZHK8IULsSULvcYhVmOTD2l6FvyUHfnIV5oAKnYrpBa1MWEDjwqgixMwRlcRLqshTkWRFw0sD6YEmScNppp+HKK6/EnXfeiVmzZo33H48QQlqO4zioqgpVVdHe3o6FCxcOuI1f+V4qlVAsFoesfDcMA9VqFb29vQO+x2CV78lkMghbVPk+sU2rGamXtu5FLDYwddY+AAMfDTbM5wb/GoPdlo3063iBAABsr0bZdljdrEftjIjtMDiOW8nshwrTmzmxbAcOAyzbvb/puA1nhu2GE9MLN5bNgpmXYP+Mw4KgYgUfu6UBlu3AdvqDk+V4jWneeGvHFxxP41+H5mdtgOH339TO3ogC77ao8RyW73saM3veADggs/B0VJacClVyywVCNS1qYVkYcA6O3FAqUBtwRqtkgJCxwhwGq6cCfVse2qYszH0lOBULzPTWAvIcOEWA2KZCWZSAujwNeU4UuUoBGzZswNq1awEA0WgUN9xwA/7P//k/1G5FCCGHYSwr39vb2+uWEFLl+8jR0r4m+A/W4s/eA0EJN3WIJYCBKemQNz+yh7T2vwjz/s//mv0fjx8/xABukIH3cRBkMDDYCDxXN2sjBu1pHCShdvbFnb1Rvb04YVl09+TItY1qIsINBQO1szjyELM3jDH8+Zc/xbP3/QyMMRx/3oU46/0fBkc/ZMg0wxiDndWh78i7zYC7B2kGlAV0l3vxxzeexO82PYmXut9EXyUHAFiyZAn+9V//FRdeeCGt8yeEkFE2WOV7JpMJlhCORuW730JIL4q5KEg1wX+wTr3pVxDViHtlw3OB4Z4a1D9vqL8lN/jVg389zn8z8LO11/gzL4dqQKtdcsbzCGqfObizM8HH3nI0jkOwz0YSOMiiEIQb2Qs3UrBEzd2DI3szMIIXigRvWZvkXecHGcmbCVJEASLPTagZm5d//1s8+l8/hG2ZWLH2LJz3j1dDoDpTMs3ZBQPG7gKqb2Zg7HKbAa2qCYHn3eUqpoaD5T68uO8NPLL1Gbyw9zWsWnM8vva1r9EhvYQQMo7GqvK9cQnhdKp8pyDVBCqbIJufexoPf+ffYGgauo47Ce/89OchKWqrh0XIhKHlKvjiP34OsYyIE2cdjfnJ2YjKYYiCCMYYqqaGTDWP1w5uBt8VwSUfvwKphZ3UDEgIIROAbdsol8sol8tU+T4CFKSaQEGKAMDuN17Fr756B7RSEbOXrcSl194ENRJt9bAImTD++Mc/4rzzzoNlWQhJKlZ2LMbfLDoVa+Yfj8VtCxBTIpAFt1lKswxA4RFf1A51aQrqkiSkzjA4cXL/ciWEkKlqtCvfo9EoYrHYpKx8pyDVBApSxHdw53bce+dNKGczaJ+3AOtvuA2RZKrVwyKk5TZt2oRTTz0VuVyu7vpwOIxEIoF0IoWjZy3DKbNX4djUMsxROxDiFYic1yIlcOBVAWJHGMqSJNSlKUizIuBlapkihJDJYLDK997eXuRyuVGrfE8mk4hEIi2vfKcg1QQKUqRW7sB+/PL2G5E70I145wysv/42pGZSxTOZ3l555RXk83kkEgnE43EkEgnEYrEh18ozh8HqrULflnObAfcO1gzIQ0yHoHQloK5IQ54bBa9O/bX3hBAyVY208n2o/Vo8zwfLCFtZ+U5BqgkUpEijSj6He26/ET07tyOSTOHSa2/GjK7FrR4WIZNW0Ay4Mw9tYxbG7iKc4sBmQCGpQFkQd4PVvBiEmNzagRNCCBlVo135HolEgrA1WpXvFKSaQEGKDEavlHHf3bdi75uvQ4lEcdFnrsX8Y45r9bAImTLsogFjVxHVDRkYuwqwczqYYQfnN3AyDz4mQ54Xg7oiBWVBAkJyYq+rJ4QQcuQaK9/9/VqFQgGlUgmapo1p5TsFqSZQkCJDMQ0dD33tbmz963OQFAVv+9jVWLHmzFYPi5ApyalaMPYUoW3MQt+eh5WpgukO4Li/hjiJBx+RIM2OQF2WgrI4CbEtRM2AhBAyzdRWvheLRWQymaDyvVAooFKpHFHlu6qqOOWUUyhIjQQFKTIcx7bx++9/C68//ggEUcS6934Ix59/YauHRciU5xg2zO4StE056FtzsHoqcDQbsL1fSyIHPiRCmhmBsjQJdUmKmgEJIYQAOLLKd13X8eUvf5mC1EhQkCKHwhwHT/zkR3jhoQcADjjl4vVY86730hIjQsYRsxyYByvQtuSgb87C3F+GU7UBy3ulUeDAKwLEzjCURQkoy1KQZ0epGZAQQsig/Mr3UqmEfD4fLCHcv38/Pv7xj1OQGgkKUmQkGGN44df34cmf/Tcc28Gqs9+Gcz78j+B5epJGSCswh8Hqq0Lfloe2MQNzXxlO2Ry8GXChV2AxJwo+3LpKXUIIIRMf7ZFqAgUp0ozXH3sEj/z7d2AZBpaeuhbv+NQ/QxDpiRkhrcYYg53Xoe8oQNuQgbGnCKdgugUWQF0zoDw/jtCKNOT51AxICCGkHgWpJlCQIs3a9uLz+M03vgK9Usb8Vcfh4s9eD1kNtXpYhJAGdsmAsbsI7c0M9F0F2NlBmgGjXjPg8hSUhQkIKWoGJISQ6YyCVBMoSJHD0b15A+67+0uoFvKYsXgpLvvCLQjF6O8PIROZo1kw9pSgbcy4zYB9Gphu1zcDhkVIs6NusFqUhNhOzYCEEDKdUJBqAgUpcrgye3fjnttvRLGvF+nZc3HZ9V9CvL2j1cMihIyQY9gw95ehbcpC3zJEM6DqNQMuSUJZmoQ8I0LNgIQQMoVRkGoCBSlyJAq9Pfjl7Tcis28PYm3tWH/9l5CeM6/VwyKEHAZmOTB7qtC3ZKFtzsLsrsCpWnXNgJwiQOoIQ1mcgLI05RZYUDMgIYRMGRSkmkBBihypSiGPe798Mw5s3YxQPIFLP3cjZi1d0ephEUKOUNAMuD0PbWMW5t5SQzOgW2AhplUoCxNuM+BcagYkhJDJjIJUEyhIkdFgVCt44F9ux67XXoYSjuCCq69B13EntXpYhJBR5DcDGjuLqG7og7m7BLtgDGwGTCiQ58cQWpmGPC8GPiZTgQUhhEwSFKSaQEGKjBbLNPHbb/0LNj/7NERZxjkf+QSOXnd2q4dFCBlDQTPgxiz0HXnYOd0tsGhsBpwbhboiDWVBHEJapWBFCCETFAWpJlCQIqPJcWw88u/fxat//D14gccZV3wAJ15wCT1pImSacDQLxl6/GbAAq7c6dDPgshSURQmIHWFqBiSEkAmCglQTKEiR0cYYw9O/+H947oF7AAaceMElOPPvPgCOp6YvQqYbZtowusvQNuegb8nCOliFo1kDmwFnhKEsSbnNgDOpGZAQQlqFglQTKEiRsfLiww/i8R//B2zbwtHrzsFbP/pJ8AK1exEynTHbgdVThbYl5zUDlsEqFpjfDMhz4FQBUnsIyqIElOVpyLOj4BX62UEIIeOBglQTKEiRsbTh6Sfwu+99HaauY/GJp+DCqz8PUZZbPSxCyATBHAYro8HYnkd1Y8ZtBiwN0gyYUiEvjENdmYYyN0bNgIQQMkYoSDWBghQZaztfeREPfu0u6OUS5h51DC655otQwuFWD4sQMgG5zYAGjF0FaBsyMHYVYRe9ZkCG/mbAuAx5fiwosKBmQEIIGR0UpJpAQYqMh/3btuC+L9+MSj6HjoWLsP66WxFOJFs9LELIJGCXDBh73AILY0cBVlYbuhlweRrKwjiElEoFFoQQchgoSDWBghQZL9nufbjn9htR6DmA5MxZWH/9bUh0zmj1sAghk0zQDLgpC2NbHmZjM6DIgwuLkGZFoC5PQ12cgNgeBidQsCKEkEOZdkHqqquuwje/+c3g48WLF2PLli0jui8FKTKeStkM7rn9BvTt3oVoqg1/e93N6Jjf1ephEUImMWY6MPaXoG/OQd+Sg3mgUt8MKHDgQyKkzjCUJUmvGTAKTqJmQEIIaTTtgtSaNWtwww03YM2aNQAAQRAQi8VGdF8KUmS8aaUS7rvrZuzbtAFqLI6L//l6zF15dKuHRQiZIpjNYPVUoG3NQds0gmbAZSnIc6LgFbG1AyeEkAlgWgUpy7LQ1taGvXv3IhqNNn1/ClKkFUxdw6/+9U7sePmvkNUQzv/EZ7D05NNaPSxCyBTEHAY7q0Hfnnf3We0pwSmbYIYXrDiAU2qaAVekIc+NQYhQMyAhZPqZVkHqxRdfxLp16zBjxgzs3bsXZ511Fr7//e9j/vz5I7o/BSnSKrZl4uHvfA0bn3kCgijhb/7+o1h9znmtHhYhZIpjjMEpGNBrmwELQzQDznObAeUFcQhxagYkhEx9UzJIXXLJJXj00UcHXP/pT38aDz74IL75zW+ivb0dn/70p2FZFh5++OFBv46u69B1Pfi4UChg3rx5FKRISzDHwZ/+6wd4+Xe/AcfxOH39FTjlknfTkxVCyLiyyyaMPUVoG7IwduQHNgNKPPioBHmO1wzYlYCQpmZAQsjUMyWD1IEDB1CtVgdcn06n6/6Qu3btQldXF7LZ7KB/+Jtvvhm33HLLgOspSJFWYYzhuft/jmfu+SkYc3Dc2y7AWz7wEXA8bQQnhLSGo1sw9pWhb8xA95sBtSGaAZeloC5OQuygZkBCyOQ3JYPUSGmahlAohA0bNmD58uUDPk8zUmSievkPD+PRH/0AtmVixZp1OO+froYg0h4FQkjrMdOBcaAMfXO2vhnQqmkGVEWIXjOgujQJeRY1AxJCJp9pFaSuueYaHH/88XjPe94DAPjTn/6Ec889F8ViEeFw+JD3pz1SZCLZ/NwzePg7/wZDq6Lr2BPwzs98AZKitnpYhBBSh9kMVm8F2tY89E0ZmPvKcKoWmFnTDKi4zYByVxzq8rTbDKhSMyAhZGIbrWwwKX7aHXvssbjhhhswY8YM2LaNT33qU/jABz4wohBFyESz9JTTEYrG8MBXb8f2l17APbfdiEs/fxPUw2ikJISQscIJHKQZEUgzIoitmd3fDLij0N8MWDJg7C7C2F1E6Ym94BQBQlKBsjABdXkK8rwYhKjc6j8KIYSMiUkxIwUAX/jCF/Dd734XgiDgfe97H+644w5EIpER3ZdmpMhE1LNrO+694yaUshm0z1uAy67/EqKpdKuHRQghI8IYg1M0YOwqoPpmFsbuAux8QzOgVNMMuDINeX4cQoKaAQkhrTWtlvYdKQpSZKLKHdiPX95xI3L7uxHvnIH119+G1MxZrR4WIYQcFqdiQt9ThL4hC31HHlZGc4OVf5yVxIOPSJDmRhFanoa8MA6xLUTNgISQcUVBqgkUpMhEVsnncM8dX0TPjm2IJFO49NqbMaNrcauHRQghR8zRbRj7StA3ZaBv9ZoBdRuwvaceIg8+LEKaGYG6NAllSQpSZwicQAUWhJCxQ0GqCRSkyESnVyq4/+5bsefN16BEorjoM9di/jHHtXpYhBAyqpjlwNhfhr4lB31zdphmwBCUxUmoy1KQZ0XASUJrB04ImVIoSDWBghSZDExDx0Nfuxtb//ocJEXB2z52NVasObPVwyKEkDHDHAarpwJ9Wx7apizMfSU4lYHNgGKbCmVRgpoBCSGjgoJUEyhIkcnCsW38/vvfwuuPPwJBFLHuvR/C8edf2OphEULIuAiaAXd6zYC73WZAZvibrABOFiCkFCgL4lBXpKkZkBDSNApSTaAgRSYT5jh44ic/wgsPPQBwwCkXr8ead72XWq4IIdOSXTBg7C6g+mYGxq4i7Lze3wwIN1jxccltBlzRBmVBDEJCoZ+ZhJAhUZBqAgUpMtkwxvDCr+/Dkz/7bzi2g1Vnvw3nfPgfwfO0T4AQMr05FRPGnhK0jRno2wuwsl6BRWMz4Jwo1OUpKF0JagYkhNShINUEClJksnr9sUfwyL9/B5ZhYOmpa/GOT/0zBFFq9bAIIWTCcAy/GTALfWseVk8FTmMzYEiANCsCZUkK6lJqBiRkuqMg1QQKUmQy2/bi8/jNN74CvVLG/FXH4eLPXg9ZDbV6WIQQMiExy4F5oAJtSxb65hzMA2U41cZmQAFiRxjKkqQbrGZFwMs040/IdEFBqgkUpMhk1715A+67+0uoFvKYsXgpLvvCLQjF6O8yIYQcCnMYrN4q9G05aBuHagbkIaZDULoSboHFXGoGJGQqoyDVBApSZCrI7N2Ne26/EcW+XqRnz8Vl138J8faOVg+LEEImFcYY7KwOfYdbuW7sLsIpDtIMmGxoBoxRMyAhUwUFqSZQkCJTRaG3B7+8/UZk9u1BrK0d66//EtJz5rV6WIQQMqnZRQPGriKqGzIwdhVg5xqbAXnwMdlrBkxDWRCHkKRmQEImKwpSTaAgRaaSSiGPe798Mw5s3YxQPIFLP3cjZi1d0ephEULIlOFUTBh7S9A2ZqFvz8PKVMF0B3Dcp0xBM+DsCNRlKSiLk9QMSMgkQkGqCRSkyFRjVCt44F9ux67XXoYSjuCCq69B13EntXpYhBAyJTmGDbPbC1bbvGZArbYZkAMfEiHNjEBZmoS6JAWpMwxOpGZAQiYiClJNoCBFpiLLNPHbb/0LNj/7NERZxjkf+QSOXnd2q4dFCCFTHrMcmAdrmgH3D9MMuCgBdXkK0qwoNQMSMkFQkGoCBSkyVTmOjUf+/bt49Y+/By/wOOOKD+DECy6hdfuEEDKOmMNg9VWhb8tD25iBua8Mp2wO3gy40CuwmBMFH6ZzAQlpBQpSTaAgRaYyxhie/sX/w3MP3AMw4MQLLsGZf/cBcDwtKSGEkFZgjMHO6dB3FqBtyMDYU4RTGLwZUJ4fR2hFGvJ8agYkZLxQkGoCBSkyHbz48IN4/Mf/Adu2cPS6c/DWj34SvEDLSAghZCKwiwaM3UVoGzLQdw7TDDg3BnV5CsrCBIQUNQMSMhYoSDWBghSZLjY8/QR+972vw9R1LD7xFFx49echyvQKJyGETDRO1XKbATdkoO/Iw+obpBkwLEKaHXWD1aIkxHZqBiRkNFCQagIFKTKd7HzlRTz4tbugl0uYe9QxuOSaL0IJh1s9LEIIIcNwmwHL0DZnoW/JDd0MOKOmGXAGNQMScjgoSDWBghSZbvZv24L7vnwzKvkcOhYuwvrrbkU4kWz1sAghhIxQ0Ay4NQd9cxZmdxlO1QYsb5+VwIFTBEgdYSiLE1CWpSDPpmZAQkaCglQTKEiR6SjbvQ/33H4jCj0HkJw5C+uvvw2JzhmtHhYhhJDDEDQDbs9D25iFubfU0AzoFliIaRVKVwLq8jTkudQMSMhgKEg1gYIUma5K2Qzuuf0G9O3ehWiqDX973c3omN/V6mERQgg5Qowx2Hkd+s4itA19MHYX4RRMt8AC6G8GTCiQ58cQWpmGPC8OIU77ZgmhINUEClJkOtNKJdx3183Yt2kD1FgcF//z9Zi78uhWD4sQQsgos0sNzYDZQZoBozLkuVGoK9JQFsQhpFVqBiTTDgWpJlCQItOdqWv41b/eiR0v/xWyGsL5n/gMlp58WquHRQghZAw5mtcMuDEDfVseVp8GptuDNwMuS0FZlIDYEaZmQDLlUZBqAgUpQgDbMvHwd76Gjc88AUGU8Dd//1GsPue8Vg+LEELIOHEMG+b+MrTNOehbsrAODtIMqIqQZoShLE1BWZKEPDNCzYBkyqEg1QQKUoS4mOPgT//1A7z8u9+A43icvv4KnHLJu2lZByGETEPMdmAerELfmoO2yW8GtAY2A7aHvGbAtNsMqFAzIJncKEg1gYIUIf0YY3ju/p/jmXt+CsYcHPe2C/CWD3wEHE+vOBJCyHTmNwMaOwqobsy4zYClIZoBFyagrEhBmRujZkAy6VCQagIFKUIGevkPD+PRH/0AtmVixZp1OO+froYg0i9DQgghLrcZ0ICxqwBtQwbGriLsggFmegUWQTOgDHleHKGVKcjz4+BjMq10IBMaBakmUJAiZHCbn3sGD3/n32BoVXQdewLe+ZkvQFLUVg+LEELIBBU0A27MwtiZh5XV3QKLwZoBl6ehLIxDSKlUYEEmFApSTaAgRcjQ9rzxGh746u3QSkXMXrYSl37+JqjRaKuHRQghZBIImgE3ZWFsy8PsrQ5sBgyJkGZHoCxLQ12cgNgeBidQsCKtQ0GqCRSkCBlez67tuPeOm1DKZtA+bwEuu/5LiKbSrR4WIYSQSYaZNozuMvTNOWhbc7AOVOBo1uDNgEuSUJamqBmQjDsKUk2gIEXIoeUO7Mcv77gRuf3diHfOwPrrb0Nq5qxWD4sQQsgkxmwHVk8VWk0zIKtYYH4zIM+BU71mwEUJKMvTkGdHwCtiawdOpjQKUk2gIEXIyFTyOdxzxxfRs2MbIskULr32ZszoWtzqYRFCCJkimMNgZzTo2/PQNmVg7CnBKZtghhesOIBTBIgpFfLCONQVachzYxAiVIZERg8FqSZQkCJk5PRKBffffSv2vPkalEgUF33mWsw/5rhWD4sQQsgUxBiDXTBg7PSaAXd7zYBGQzNgXIY8PwZ1RRrK/Dj4ODUDksNHQaoJFKQIaY5p6Hjoa3dj61+fg6QoeNvHrsaKNWe2eliEEEKmAbtswthTdIPVjgKsrDawGTAi9TcDdiWoGZA0hYJUEyhIEdI8x7bx++9/C68//ggEUcS6934Ix59/YauHRQghZJpxNAvGvhL0jVno271mQK2mGVDkwYVFSLMiUJeloC5OQuygZkAyNApSTaAgRcjhYY6DJ37yI7zw0AMAB5xy8Xqsedd7aTkFIYSQlmGmA2N/CfrmHPQtOZgHvWZAy3tKKzQ0Ay5JQp4VBSdRMyBxUZBqAgUpQg4fYwwv/Po+PPmz/4ZjO1h19ttwzof/ETwvtHpohBBCCJjNYPVWoG2paQasWmBmQzNgWwjyogTUZSnIc6LgVWoGnK4oSDWBghQhR+71xx7BI//+HViGgaWnrsU7PvXPEERqUSKEEDKxMIfBzmrQd3gFFntLcErG0M2Ay9OQ51Ez4HRCQaoJFKQIGR3bXnwev/nGV6BXypi/6jhc/NnrIauhVg+LEEIIGRJjDE7RgO43A+4aohkw1t8MKM+PQ0hQM+BURUGqCRSkCBk93Zs34L67v4RqIY8Zi5fisi/cglCM/l0RQgiZPOyyCWNvEdqbWRg78m4zoGED/qSVxIOPSpDmRBFanobclYCYpmbAqYKCVBMoSBEyujJ7d+Oe229Esa8X6dlzcdn1X0K8vaPVwyKEEEIOi6NbMPaVoW/KQN96iGbApSmoS5IQO0LgBCqwmIwoSDWBghQho6/Q24Nf3n4jMvv2INbWjvXXfwnpOfNaPSxCCCHkiDHLgbG/7DUDZmEeGLwZUOwMQVmSgro0CXlWBJxERUyTAQWpJlCQImRsVAp53Pvlm3Fg62aE4glc+rkbMWvpilYPixBCCBlVfjOgvi0PbWMGZncZTqWhGVARILaHoHR5BRbUDDhhUZBqAgUpQsaOUa3ggX+5HbteexlKOIILrr4GXced1OphEUIIIWMmaAb0Cyz2DN4MKCQVKAsTUJen3GbAqNzagRMAFKSaQkGKkLFlmSZ++61/weZnn4YoyzjnI5/A0evObvWwCCGEkHHhNwMau4uovuk1A+b1+mZASYAQlyHNiyK0sg3y/BiEhELNgC1AQaoJFKQIGXuOY+ORf/8uXv3j78ELPM644gM48YJL6BcEIYSQacmpmDD2lKBtzEDfnoeVGaQZMOI1A65IQV6YgNgWombAcUBBqgkUpAgZH4wxPP2L/4fnHrgHYMCJF1yCM//uA+B4ajUihBAyvTm6DWNfCfqmLPRteZg9FTDdBmzvqbjIgw+JkGaFoS5NQVmSgtRJzYBjgYJUEyhIETK+Xnz4QTz+4/+AbVs4et05eOtHPwleoCYjQgghxMcsB+aBCrTN2f5mwGpjM6AAsTMMZXES6rIUpJkR8DL9Pj1SFKSaQEGKkPG34ekn8LvvfR2mrmPxiafgwqs/D1GmTbaEEELIYJjDYPV4zYCbsjD3lQZvBmxToXQl3GbAudQMeDgoSDWBghQhrbHzlRfx4Nfugl4uYe5Rx+CSa74IJRxu9bAIIYSQCY8xBjurQ9/hVq4buwdpBpQFCCkFyvw41JVpagYcIQpSTaAgRUjr7N+2Bfd9+WZU8jl0LFyE9dfdinAi2ephEUIIIZOOXTBg7C6guiELY2ehvhkQbrDi4xLkeTGoy9NQFsapGXAQFKSaQEGKkNbKdu/DPbffiELPASRnzsL6629DonNGq4dFCCGETGp1zYA7CrAyVbfAYpBmQHVZCsoiagYEKEg1hYIUIa1XymZwz+03oG/3LkRTbfjb625Gx/yuVg+LEEIImTIco6YZcGseVm8FjtbYDChAmhmBsjQFdUkSUmcYnDi9mgEpSDWBghQhE4NWKuG+u27Gvk0boMbiuPifr8fclUe3eliEEELIlBQ0A27JQt+Sg7m/PHgzYIffDJiENCs65ZsBKUg1gYIUIROHqWv41b/eiR0v/xWyGsL5n/gMlp58WquHRQghhEx5zGGweqvQt+W8ZsAynLLZ0AzIQ0yH3GbAFSnIc2LgQ1OrGZCCVBMoSBEysdiWiYe/8zVsfOYJCKKEv/n7j2L1Oee1eliEEELItBI0A+7MQ9uYhbG7CKc4SDNgUoG8II7QCq8ZMDa5mwEpSDWBghQhEw9zHPzpv36Al3/3G3Acj9PXX4FTLnk3NQsRQgghLWQXDRi7i6huyLjNgLnGZkAefEx2mwFXpKDMT0BITa5mQApSTaAgRcjExBjDc/f/HM/c81Mw5uC4t12At3zgI+D46bXplRBCCJmonKoFY28R2oYs9O15rxnQARw3QgTNgLMjXjNgEmL7xG4GpCDVBApShExsL//hYTz6ox/AtkysWLMO5/3T1RBEqdXDIoQQQkgDx7BhdpegbcpB35qD1dPYDMiBD4luM+CSJNQlKUgzJlYzIAWpJlCQImTi2/zcM3j4O/8GQ6ui69gT8M7PfAGSorZ6WIQQQggZBrMcmAcr0LbkoG/Oes2ANmB5+6z8ZsD2MJTFCSjLUpBnt7YZkIJUEyhIETI57HnjNTzw1duhlYqYvWwlLv38TVCj0VYPixBCCCEjxBwGq68KfVse2sbM8M2AC+NQl6chz42CD4/fShQKUk2gIEXI5NGzazvuveNmlLJ9aJ+3AJdd/yVEU+lWD4sQQgghh4ExBjuvQ99RgLYx4zYDFky3wALobwZM+M2AKcjz4hDiY9cMSEGqCRSkCJlc8gcP4J7bb0BufzfinTOw/vrbkJo5q9XDIoQQQsgosEtuM6D2Zgb6rgLs7BDNgHOjUJenoSwc3WZAClJNoCBFyORTyedwzx1fRM+ObYgkU7j02psxo2txq4dFCCGEkFHmaBaMPSVoGzNuM2CfBqbb9c2AYRHS7CjU5SkoXQmIHeHDbgakINUEClKETE56pYL7774Ve958DUokios+cy3mH3Ncq4dFCCGEkDHkGDbM/WVom7JuM+DBIZoBZ4ShLE013Qw4ZYNUb28vTj75ZPzpT3/CwoULg+tfe+01fPCDH8SWLVvwkVF6a/YAACTbSURBVI98BHffffeIp/coSBEyeVmGgV9//S5sfeE5SIqCt33saqxYc2arh0UIIYSQccIsB2ZPFfqWLLTNWZjdFThVq64ZkFMESB1hKIsSUJYP3ww4JYNUb28vLrzwQjz77LPYvn17EKR0XceKFStw3nnn4ZprrsFVV12F9evX44Mf/OCIvi4FKUImN8e28fvvfwuvP/4IBFHEuvd+CMeff2Grh0UIIYSQFgiaAbfnoW3MwtxbamgGdAssxLQKpSsxoBlwSgapc889FxdddBGuvvrquiB1//3340Mf+hD27NmDcDiMl19+GZ/4xCfw5JNPjujrUpAiZPJjjoMnfvIjvPDQAwAHnHLxeqx513tHbeMpIYQQQiYnvxnQ2FlEdUMfzN0l2AVj8GbA+TGY8yTMPG3REWcDcZTGPyp+8IMfoKurC1dffXXd9S+//DJOO+00hMNhAMDq1avxxhtvtGKIhJAW4XgeZ77n7xFOJPHkT/8Lz973C1TyOZzz4X8Cz7fuUD9CCCGEtBbHcRCTKsSkivCxHQBqmgE3ZqHvyMPO6bB6KrAOVlB8qjwq33fcg9Qll1yCRx99dMD1t912Gz75yU8Oep9CoYCurq7gY47jIAgCstksUqnUgNvrug5d1+vuTwiZ/DiOw0kXXopQPI5HfvgdvPrI/0IrFfH2T34WojR+B/kRQgghZGITojJCK9sQWtkGwGsG3Os2A2pv7BuV7zHuQep73/seqtXqgOvT6aEP3BRFEYqi1F2nqioqlcqgQerOO+/ELbfccuSDJYRMSEevOwehWAK/+cZXsOnPT0Erl3HxZ6+HrIZaPTRCCCGETEC8KkJdnIS6OAn+jHbgmlH4mkf+JZozY8YMLFy4cMBluPWJ6XQaPT09ddcVi0XI8uAnHn/hC19APp8PLrt37x7VPwMhpPUWHX8SLrvuFoTiCex69SX8/NbrUC3S7DMhhBBCxse4B6nDcfLJJ+OZZ54JPt6+fTt0XR9yFktRFMTj8boLIWTqmbV0Ba64+cuItbXjwNbN+OkXP4dCb8+h70gIIYQQcoQmRZBat24dCoUC/uM//gMAcMcdd+Dcc8+FINAGc0Kmu/Scebji1q8gPXsuMvv24KdfvAaZvTQLTQghhJCxNSmClCiK+OEPf4hPfvKTaG9vxwMPPIC77rqr1cMihEwQ8fYOXHHr3ZixeCmKfb346c3XonvzhlYPixBCCCFT2IQ6R+pQ9u/fjxdeeAGnnXYa2traRnw/OkeKkOnB0Kp44Cu3YddrL0MJR/COq67BouNPavWwCCGEEDKBTMkDeccKBSlCpg/bMvGbb34Vm599CqIs45yPfBxHrzun1cMihBBCyAQxWtlgUiztI4SQkRJECRdcfQ1WnXM+LNPC77//LTz/4L2YBq8ZEUIIIWQcUZAihEw5PC/g3I98HKde+i4wxvDET/4LT/zPf4I5TquHRgghhJApgoIUIWRK4jgOa9/9Przl/R8Bz/N4/tf34Xff+yYc22710AghhBAyBVCQIoRMaceffyHO+/inIcoyXnvsD/jVV++AaeitHhYhhBBCJjkKUoSQKW/FmjNx8WdvgBKOYOsLz+LeO2+CXqm0eliEEEIImcQoSBFCpoUFq47D+htuQySZwp43XsPPbrkWlXyu1cMihBBCyCRFQYoQMm3MXLQEl99yN+KdM9CzYxt+8sVrkD94oNXDIoQQQsgkREGKEDKtpGbOwt/d+hW0zZuP3P5u/PSLn0PPru2tHhYhhBBCJhkKUoSQaSeaSuOKm+/G7GUrUMr24ee3XIc9b7zW6mERQgghZBKhIEUImZbUaBTrb7gNC487EVq5hPvuvhWb//LnVg+LEEIIIZMEBSlCyLQlKSouueYGrFx7Fkxdw2++8RW88sjDrR4WIYQQQiYBClKEkGlNECW8/ROfwfHnXQjHtvDH//s9PHvfz8AYa/XQCCGEEDKBUZAihEx7HM/jLVf+A9a86z0AgKd/8T949Ec/AHOcFo+MEEIIIRMVBSlCCAHAcRxOvfRynP2hj4EXRLz4v7/Gb7/9r7Ats9VDI4QQQsgEREGKEEJqrD7nfLzjqmsgKSrefOoxPPCV22DqWquHRQghhJAJhoIUIYQ0WHryabj08zdBjUSx/aUXcM9tN0IrlVo9LEIIIYRMIBSkCCFkEHNXHo1333QHoqk27Nv0Jn568+dQymZaPSxCCCGETBAUpAghZAgd87twxa13IzlzFvp278JPbrwG2f3drR4WIYQQQiYAClKEEDKMROcM/N2tX0HHwkUo9BzAz276HA5s39rqYRFCCCGkxShIEULIIYQTSVx+05cxd+UxKOey+MWXrsfOV19q9bAIIYQQ0kIUpAghZASUcBiXXXcrFp90KvRKGQ/8y23Y8PQTrR4WIYQQQlqEghQhhIyQKMu46DPX4ZizzoVlGPjf7/4bXnz4160eFiGEEEJagIIUIYQ0gRcEvO1jn8JJF14Kx3bw6H//EE/9/MdgjLV6aIQQQggZRxSkCCGkSRzP48z3/D3OfM+V4DgOz973C/zhh9+G49itHhohhBBCxgkFKUIIOQwcx+GkCy/FWz/6SYiSiFcf+V889PW7YZlmq4dGCCGEkHFAQYoQQo7A0evOwYWf/gLkUBib/vwU7rvrFhhatdXDIoQQQsgYoyBFCCFHaNHxJ+Gy625BKJ7Arldfws9vvQ7VYqHVwyKEEELIGKIgRQgho2DW0hW44uYvI9bWjgNbN+OnX/wcCr09rR4WIYQQQsYIBSlCCBkl6TnzcMWtX0F69lxk9u3BT794DTJ7d7d6WIQQQggZAxSkCCFkFMXbO3DFrXdjxuKlKPb14qc3X4vuzRtaPSxCCCGEjDIKUoQQMspCsTje/cU7MP+YY1Et5PHLO27Cthefb/WwCCGEEDKKKEgRQsgYkNUQ/vYLN2PZaWfAqFbw63+7E68//kirh0UIIYSQUUJBihBCxoggSrjg6muw6pzzYZkWfv/9b+H5B+8FY6zVQyOEEELIEaIgRQghY4jnBZz7kY/j1EvfBcYYnvjJf+GJ//lPMMdp9dAIIYQQcgQoSBFCyBjjOA5r3/0+vOX9HwHP83j+1/fhd9/7JhzbbvXQCCGEEHKYKEgRQsg4Of78C3Hexz8NUZbx2mN/wK++egdMQ2/1sAghhBByGChIEULIOFqx5kxc/NkboIQj2PrCs7j3zpugVyqtHhYhhBBCmkRBihBCxtmCVcdh/Q23IZJMYc8br+Fnt1yLSj7X6mERQgghpAkUpAghpAVmLlqCy2+5G/HOGejZsQ0/+eI1yB880OphEUIIIWSEKEgRQkiLpGbOwt/d+hW0zZuP3P5u/PSLn0PPru2tHhYhhBBCRoCCFCGEtFA0lcYVN9+N2ctWoJTtw89vuQ573nit1cMihBBCyCFQkCKEkBZTo1Gsv+E2LDzuRGjlEu67+1Zs/sufWz0sQgghhAyDghQhhEwAkqLikmtuwMq1Z8HUNfzmG1/BK4883OphEUIIIWQIFKQIIWSCEEQJb//EZ3D8eRfCsS388f9+D8/e9zMwxlo9NEIIIYQ0oCBFCCETCMfzeMuV/4A173oPAODpX/wPHv3RD8Acp8UjI4QQQkgtClKEEDLBcByHUy+9HGd/6GPgBREv/u+v8dtv/ytsy2z10AghhBDioSBFCCET1Opzzsc7rroGkqLizacewwNfuQ2mrrV6WIQQQggBBSlCCJnQlp58Gi79/E1QI1Fsf+kF3HPbjdBKpVYPixBCCJn2KEgRQsgEN3fl0Xj3TXcgmmrDvk1v4qc3fw6lbKbVwyKEEEKmNQpShBAyCXTM78IVt96N5MxZ6Nu9Cz+58Rpk93e3eliEEELItEVBihBCJolE5wz83a1fQcfCRSj0HMDPbvocDmzf2uphEUIIIdMSBSlCCJlEwokkLr/py5i78hiUc1n84kvXY+erL7V6WIQQQsi0Q0GKEEImGSUcxmXX3YrFJ50KvVLGA/9yGzY8/USrh0UIIYRMKxSkCCFkEhJlGRd95jocc9a5sAwD//vdf8OLD/+61cMihBBCpg0KUoQQMknxgoC3fexTOOnCS+HYDh797x/iqZ//GIyxVg+NEEIImfIoSBFCyCTG8TzOfM/f48z3XAmO4/Dsfb/AH374bTiO3eqhEUIIIVMaBSlCCJnkOI7DSRdeird+9JMQJRGvPvK/eOjrd8MyzVYPjRBCCJmyKEgRQsgUcfS6c3Dhp78AORTGpj8/hfvuugWGVm31sAghhJApiYIUIYRMIYuOPwmXXXcLQvEEdr36En5+63WoFgutHhYhhBAy5VCQIoSQKWbW0hW44uYvI9bWjgNbN+OnX/wcCr09rR4WIYQQMqVQkCKEkCkoPWcerrj1K0jPnovMvj346RevQWbv7lYPixBCCJkyKEgRQsgUFW/vwBW33o0Zi5ei2NeLn958Lbo3b2j1sAghhJApgYIUIYRMYaFYHO/+4h2Yf8yxqBby+OUdN2Hbi8+3eliEEELIpEdBihBCpjhZDeFvv3Azlp12BoxqBb/+tzvx+uOPtHpYhBBCyKRGQYoQQqYBQZRwwdXXYNU558MyLfz++9/C8w/eC8ZYq4dGCCGETEoTLkj19vaiq6sLO3bsqLv+qquuAsdxwWXJkiWtGSAhhExSPC/g3I98HKde+i4wxvDET/4LT/zPf4I5TquHRgghhEw6YqsHUKu3txcXXnjhgBAFAM8//zweeughrFmzBgAgCMI4j44QQiY/juOw9t3vQziexOM//r94/tf3oVoo4K0f/SR4+rlKCCGEjNiEmpG64oor8J73vGfA9ZZl4fXXX8e6deuQTCaRTCYRi8VaMEJCCJkajj//Qpz38U9DlGW89tgf8Kuv3gHT0Fs9LEIIIWTSmFBB6gc/+AGuuuqqAde/+uqr/397dx9VVZ3vcfxzDodn5FHTRjGx8KkyusZIOTZNeoubpDJZSXbtVoy5rHFuzZzGp0SJSw6OuiqZ0rqjTkmmpXKze5PChxwHLRwxEc0u0eDzAyJHBA7g2feP7jCZoJ5E9oHzfq11/tibzeFz1vquzfqs3977yOVyKS4uToGBgUpMTFR5ebkJCQGg4+h3x1CN+s0M+QcFq3THdq1+KU3OmhqzYwEA0C60eZEaPXp006rSd18LFy5UTExMs79TUlKivn376q233tIXX3whm82mCRMmtPg3nE6nHA7HeS8AwIWuuzlOY2ZkKDg8QgdLivXu7CmqqTptdiwAADyexWjjRzYdO3ZMtbW1F+yPjIxUaGjot6EsFpWVlalXr17Nvkd5ebliYmJUWVnZ9DvfNWvWLM2ePfuC/VVVVc0eDwDervLoEb33HzPkOH5M4d2u1ZjpGQq7pqvZsQAAaHUOh0NhYWFX3A3avEhdjksVqbq6OgUGBmrfvn3q27fvBT93Op1yOv9xrb/D4VB0dDRFCgAuorrylN77jxmqOFCukIgo/XzaLHXp2fyVAgAAtFetVaQ86h6pltjtduXk5DRtFxQUyGq1Kjo6utnj/f39FRoaet4LAHBxIRGRGjsrSz/q00/VlRVaOXuaDpYUmx0LAACP1C6K1C233KIZM2YoPz9feXl5mjhxosaPH6+goCCzowFAhxIQEqIxMzLUK26Q6s5Wa01Wur76fJvZsQAA8Djtokg9+uijevjhh/XAAw8oJSVFiYmJWrhwodmxAKBD8vUP0Gj7DPUf8lM1OOv036/M1Rf5H5kdCwAAj+KR90i1tta6DhIAvInhcmnTn95UUd6Hslisun3MWP149EOyWCxmRwMA4AfzqnukAABtz2K16q7HfqE7Hvz2i9L/sipHm5a9IcPlMjkZAADmo0gBAFpksVg0OPlh3f3EU7L62LRz/Tr9T/Z8nWtsMDsaAACmokgBAC5p4LBE3TfZLl//AO3dulm5czPU4KwzOxYAAKahSAEALktsfIKSf5umgOAQlRXt0HsZL6iuutrsWAAAmIIiBQC4bD3636iH0jIVEhGlw/v3asWs51VdecrsWAAAtDmKFADALV16xmhsepbCu12rigPleucFuyqPHjE7FgAAbYoiBQBwW9g1XZWSPlddevWW48QxvZv2vI6VlZodCwCANkORAgD8IEFh4Xo4bY569L9JZ09XatWL0/W33UVmxwIAoE1QpAAAP5h/UJAemJau628bLGfNWeX+PkP7/rLF7FgAAFx1FCkAwBWx+flp5HPTdNNPh6uxvl7rX1ugnR+tMzsWAABXFUUKAHDFrD4+uuepX+q2pGS5zrm06a03tXXl2zIMw+xoAABcFRQpAECrsFitGvrIv2noI4/JYrFo+5pV+uTNbLlc58yOBgBAq6NIAQBajcVi0W1JyfrnCc/I5mvT7vz1+vDlLDU2NJgdDQCAVkWRAgC0uhvvHKakZ6fKLzBI+7dt1ZrfzVZ9Xa3ZsQAAaDUUKQDAVdH71tv0wLTZCgwNU/nuIq1Mn6baMw6zYwEA0CooUgCAq+ba2H4aO2uOOkV11rHSr7Ri5vNynDxhdiwAAK4YRQoAcFVFdo/W2PS5ivxRD506fFArZtp16tABs2MBAHBFKFIAgKsutHMXjU3PUtfrY3Wm4qRWzJqiI1/tMzsWAAA/GEUKANAmAjuF6qGZmep50y2qdVTp/cw0fb2z0OxYAAD8IBQpAECb8QsI1M+nzlKfhJ+ovrZG6xa8pD2f5psdCwAAt1GkAABtysfmqxG/suvmYYlqbGjUx4sXqvCD1TIMw+xoAABcNooUAKDNWa0+Gp46SYOTH5RhGNryzp+0JWepDJfrgmMpWAAAT0SRAgCYwmKxaMhDj+quf02V1WpV4bo1ylv0qlznzjUdU1FRoddff93ElAAANI8iBQAw1a2JSbp30rOy+fmpePMn+q95mWqod0qSPv74Y02dOlXHjx83OSUAAOezmR0AAIB+dwxVYKdO+mDBHJXu2K7/fP5XOhnRTV99XaaqqipNmTJFf/zjH82OCQBAE1akAAAe4bqb4zRmRoZ8g0N09shBndqarzWrVkqSlixZooKCApMTAgDwDxQpAIDH6Nb7Bn1pCVRF9Vl1jwjTpLsSFBEUKEl65plndO47908BAGAmihQAwGOcPn1a/W8dpEWffq4jpx3q0ilYT999u7qGhuivf/2rFi9ebHZEAAAkSRbDC54r63A4FBYWpqqqKoWGhpodBwDQjJycHD355JOqq6uTJAX62vTk0HhdFxWhmvoGLd1aqNPnpP3796tz584mpwUAtFet1Q1YkQIAeIRHHnlEBQUFevDBB2WxWFTb0KhFm7dr39ETCvTz1ZM/ide1gX6aOnWq2VEBAKBIAQA8R1xcnFauXKk9e/Zo/PjxcsmipVsLtfNvh+Rn89GjCXHanb9en332mdlRAQBejiIFAPA4/fv317Jly7R//36l/mKCVhft1Z//9xv5WK0a/U83auE0uxobG82OCQDwYhQpAIDH6t27t15//XWVfv21rr/rXuV/WSZJuikiWH/47bMyXC6TEwIAvBVFCgDg8bp37675Cxbo7fxP5ex2nc65DDnLv9ba+S/pXGOD2fEAAF6IIgUAaDe6dOmitIWv619++WtZbDaVfl6g3LkZanDWmR0NAOBlKFIAgHYn7q7hGjszU4EhnVRWtEPvZbyguupqs2MBALwIRQoA0C716H+jHkrLVEhElA7v36sVs55XdeUps2MBALwERQoA0G516RmjselZCu92rSoOlOudF+yqPHrE7FgAAC9AkQIAtGth13RVSvpcdenVW44Tx/Ru2vM6VlZqdiwAQAdHkQIAtHtBYeF6OG2OevS/SWdPV2rVi9P1t91FZscCAHRgFCkAQIfgHxSkB6al6/rbBstZc1a5v8/Qvr9sMTsWAKCDokgBADoMm5+fRj43TTf9dLga6+u1/rUF2vnROrNjAQA6IIoUAKBDsfr46J6nfqnbkpLlOufSprfe1NaVb8swDLOjAQA6EIoUAKDDsVitGvrIv2noI4/JYrFo+5pV+uTNbLlc58yOBgDoIChSAIAOyWKx6LakZP3zhGdk87Vpd/56ffhylhobGsyOBgDoAChSAIAO7cY7hynp2anyCwzS/m1bteZ3s1VfV2t2LABAO0eRAgB0eL1vvU0PTJutwNAwle8u0sr0aao94zA7FgCgHaNIAQC8wrWx/TR21hx1iuqsY6VfacXM5+U4ecLsWACAdooiBQDwGpHdozU2fa4if9RDpw4f1IqZdp06dMDsWACAdogiBQDwKqGdu2hsepa6Xh+rMxUntWLWFB35ap/ZsQAA7QxFCgDgdQI7heqhmZnqedMtqnVU6f3MNH29s9DsWACAdoQiBQDwSn4Bgfr51Fnqk/AT1dfWaN2Cl7Tn03yzYwEA2gmKFADAa/nYfDXiV3bdPCxRjQ2N+njxQhV+sFqGYZgdDQDg4ShSAACvZrX6aHjqJA1OflCGYWjLO3/SlpylMlwus6MBADwYRQoA4PUsFouGPPSo7vrXVFmtVhWuW6O8Ra/Kde6c2dEAAB6KIgUAwP+7NTFJ9056VjY/PxVv/kT/NS9TDfVOs2MBADwQRQoAgO/od8dQjfrNDPkHBat0x3atfilNzpoas2MBADwMRQoAgO+57uY4jZmRoeDwCB0sKda7s6eopuq02bEAAB6EIgUAQDO69b5BD8/OUug1XXXim6/1zky7qo4fMzsWAMBDUKQAAGhBRLdrlZI+V1HRPXX66BGtmPm8TpSXmR0LAOABKFIAAFxESESkxs7K0o/69FN1ZYVWzp6mgyXFZscCAJiMIgUAwCUEhIRozIwM9YobpLqz1VqTla6vPt9mdiwAgIkoUgAAXAZf/wCNts9Q/yE/VYOzTv/9ylx9kf+R2bEAACahSAEAcJl8bL76l6ef0633Jsl1rlEb/rhI29e8K8MwzI4GAGhjFCkAANxgsVp112O/0B0PPiJJ+suqHG1a9oYMl8vkZACAtkSRAgDATRaLRYOTH9bdTzwlq49NO9ev0/9kz9e5xgazowEA2ohHFanc3Fz17t1bNptNcXFx2rt3b9PPiouLFR8fr4iICNntdi6jAACYbuCwRN032S5f/wDt3bpZuXMz1OCsMzsWAKANeEyRKi0t1eOPP645c+bo0KFD6tOnj1JTUyVJTqdT999/vwYNGqTCwkKVlJRo6dKl5gYGAEBSbHyCkn+bpoDgEJUV7dB7GS+orrra7FgAgKvMYnjI0s66det0+PBhTZgwQZK0ceNGjRgxQjU1NVq7dq2eeOIJHTx4UEFBQdq1a5eefvpp/fnPf76s93Y4HAoLC1NVVZVCQ0Ov5scAAHipE+VlWp05S9WVFYqK7qkx0zMUEhFpdiwAwPe0VjfwmBWppKSkphIlSV9++aViY2MlSbt27VJCQoKCgoIkSQMHDlRJSYkpOQEAaE6XnjEam56l8G7XquJAud55wa7Ko0fMjgUAuEpsbf0HR48erU2bNl2wPyMjQ88884wkqb6+XvPmzdNzzz0n6dvWGBMT03SsxWKRj4+PKisrFRERccF7OZ1OOZ3Opu2qqqqm9wEA4GqxBARqxG9eUO68TB0vL9PSqf+upH+foq4x15sdDQDw//7eCa70wrw2L1KLFi1SbW3tBfsjI/9x+UNaWpqCg4Ob7pGy2Wzy9/c/7/iAgADV1NQ0W6ReeuklzZ49+4L90dHRVxofAAC3PLd0pdkRAADNqKioUFhY2A/+/TYvUl27dr3ozzds2KDs7Gxt27ZNvr6+kr4tWcXFxecdd+bMGfn5+TX7HlOnTm1azZIkl8ulU6dOKSoqShaL5Qo/QcficDgUHR2tAwcOcP8YLgszA3cxM3AH8wJ3MTNwV1VVlXr27HneQs4P0eZF6mLKysqUkpKi7OxsDRgwoGl/fHy83njjjfOOczqdLX54f3//C1awwsPDr0rmjiI0NJSTD9zCzMBdzAzcwbzAXcwM3GW1XtnjIjzmYRO1tbVKSkrSqFGjlJycrOrqalVXV8swDN15551yOBxasmSJJCkzM1PDhw+Xj4+PyakBAAAAeCOPWZHKy8tTSUmJSkpKLlh96tWrl958802lpKTIbrfLarU2+8AKAAAAAGgLHlOkRo0addEnZ4wcOVKlpaXasWOHEhISFBUV1YbpOi5/f3+lpaVdcCkk0BJmBu5iZuAO5gXuYmbgrtaaGY/5Ql4AAAAAaC885h4pAAAAAGgvKFIAAAAA4CaKFAAAMNXp06e1fft2VVZWmh0FAC4bRcqLFRcXKz4+XhEREbLb7Rd92Ae818mTJxUTE6NvvvmmaR+zg5bk5uaqd+/estlsiouL0969eyUxM2jZqlWr1KtXL6WmpqpHjx5atWqVJGYGlycxMVFLly6VJG3evFn9+/dX586dNX/+fHODwaNMnjxZFoul6XXDDTdIuvLzDEXKSzmdTt1///0aNGiQCgsLVVJS0nQiAv7u5MmTSkpKOq9EMTtoSWlpqR5//HHNmTNHhw4dUp8+fZSamsrMoEVVVVWaNGmSPv30U+3evVvZ2dmy2+3MDC7L8uXLtX79eknSiRMnNHLkSKWkpKigoEDLly/Xxo0bTU4IT1FYWKgPP/xQlZWVqqys1M6dO1vnPGPAK61Zs8aIiIgwzp49axiGYRQVFRlDhgwxORU8zbBhw4yXX37ZkGSUlZUZhsHsoGUffPCBsWjRoqbtDRs2GIGBgcwMWlReXm68/fbbTdu7du0yQkJCmBlcUkVFhdG1a1ejb9++xpIlS4wFCxYY/fr1M1wul2EYhrF27Vpj3LhxJqeEJ2hoaDBCQ0ONM2fOnLe/Nc4zrEh5qV27dikhIUFBQUGSpIEDB6qkpMTkVPA0b7zxhiZPnnzePmYHLUlKStKECROatr/88kvFxsYyM2hRdHS0xo0bJ0lqaGjQggULlJyczMzgkn79618rOTlZCQkJkr793/Szn/1MFotFkvTjH/9YO3bsMDMiPMTu3bvlcrkUFxenwMBAJSYmqry8vFXOMxQpL+VwOBQTE9O0bbFY5OPjw42+OM93Z+TvmB1cjvr6es2bN08TJ05kZnBJu3btUrdu3fTRRx/plVdeYWZwURs3blR+fr6ysrKa9n1/ZkJDQ3X48GEz4sHDlJSUqG/fvnrrrbf0xRdfyGazacKECa1ynqFIeSmbzXbBtzkHBASopqbGpERoL5gdXI60tDQFBwcrNTWVmcElDRw4UHl5eYqNjWVmcFF1dXV66qmn9Nprr6lTp05N+78/M8wL/m7cuHEqLCzU7bffrtjYWP3hD3/Qxx9/LJfLdcXnGYqUl4qMjNSJEyfO23fmzBn5+fmZlAjtBbODS9mwYYOys7OVk5MjX19fZgaXZLFYNGjQIC1btkyrV69mZtCiF198UfHx8RoxYsR5+78/M8wLWnLNNdfI5XKpW7duV3yeoUh5qfj4eBUUFDRtl5WVyel0KjIy0sRUaA+YHVxMWVmZUlJSlJ2drQEDBkhiZtCyzZs3y263N237+fnJYrGof//+zAyalZOTo9zcXIWHhys8PFw5OTmaNGmSli1bdt7M7Ny5U927dzcxKTyF3W5XTk5O03ZBQYGsVqtuvvnmKz7PUKS81J133imHw6ElS5ZIkjIzMzV8+HD5+PiYnAyejtlBS2pra5WUlKRRo0YpOTlZ1dXVqq6u1tChQ5kZNKtPnz5avHixFi9erAMHDmjatGm65557dN999zEzaNaWLVtUXFysoqIiFRUVaeTIkUpPT1d5ebm2bt2qTz75RA0NDcrKytK9995rdlx4gFtuuUUzZsxQfn6+8vLyNHHiRI0fP1733HPPlZ9nWu3Zgmh3cnNzjaCgICMqKsro0qWLsWfPHrMjwUPpO48/NwxmB81bu3atIemCV1lZGTODFuXl5RkDBgwwOnXqZIwZM8Y4fvy4YRicZ3B5HnvsMWPJkiWGYRjGa6+9Zvj6+hoRERFGTEyMcfToUXPDwWNMmTLFCAsLMyIjI43Jkycb1dXVhmFc+XnGYhh8Vbg3O3r0qHbs2KGEhARFRUWZHQftCLMDdzEzcBczA3eVlZVp3759Gjp0qEJCQsyOg3bgSs4zFCkAAAAAcBP3SAEAAACAmyhSAAAAAOAmihQAAAAAuIkiBQAAAABuokgBAAAAgJsoUgAAAADgJooUAAAAALiJIgUAAAAAbqJIAQA6vCNHjigsLEzbtm2TJKWlpWnIkCHiO+kBAD+UxeC/CADAC8yfP1+5ublatWqV+vTpo02bNikuLs7sWACAdooiBQDwCo2NjYqLi1NQUJAGDx6sV1991exIAIB2jEv7AABewWazKTU1VZ9//rkmTpxodhwAQDvHihQAwCs4HA4NGDBAN954o0JCQvT++++bHQkA0I6xIgUA8ArTp0/XHXfcoffff1/btm3TunXrzI4EAGjHWJECAHR4n332me6++27t2bNH1113nZYvX67p06drz549Cg4ONjseAKAdokgBAAAAgJu4tA8AAAAA3ESRAgAAAAA3UaQAAAAAwE0UKQAAAABwE0UKAAAAANxEkQIAAAAAN1GkAAAAAMBNFCkAAAAAcBNFCgAAAADcRJECAAAAADdRpAAAAADATf8HXrm1C3iinLcAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:05.963642Z",
     "start_time": "2025-04-29T12:52:05.568317Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 基本参数\n",
    "steps = 1000\n",
    "dt = 0.01\n",
    "b_values = [-1.5]  # 瞄准距离\n",
    "speed_values = np.linspace(1, 30, 20)  # 20个不同初始速度\n",
    "\n",
    "# Yukawa 势参数\n",
    "g2 = 50\n",
    "mu = 0.5\n",
    "\n",
    "# Yukawa 势函数\n",
    "def yukawa_force(r_vec):\n",
    "    r = np.linalg.norm(r_vec)\n",
    "    if r == 0:\n",
    "        return np.array([0.0, 0.0])\n",
    "    factor = g2 * (mu + 1/r) * np.exp(-mu * r) / r**2\n",
    "    return -factor * r_vec / r\n",
    "\n",
    "# 存储颜色和线型\n",
    "colors = plt.cm.viridis(np.linspace(0, 1, len(speed_values)))\n",
    "\n",
    "# 图像设置\n",
    "plt.figure(figsize=(10, 8))\n",
    "for si, speed in enumerate(speed_values):\n",
    "    for b in b_values:\n",
    "        # 初始位置和速度\n",
    "        r = np.array([-30.0, b])\n",
    "        v = np.array([speed, 0.0])\n",
    "\n",
    "        trajectory = np.zeros((steps, 2))\n",
    "        for i in range(steps):\n",
    "            trajectory[i] = r\n",
    "            a = yukawa_force(r)\n",
    "            r = r + v * dt + 0.5 * a * dt**2\n",
    "            v = v + a * dt\n",
    "\n",
    "        plt.plot(trajectory[:, 0], trajectory[:, 1], color=colors[si],\n",
    "                 label=f\"v0 = {speed}\" if b == b_values[0] else \"\", linewidth=1.5)\n",
    "        # 添加箭头：选择轨迹中 40% 位置作为箭头起点\n",
    "        arrow_index = int(steps * 0.6)\n",
    "        if arrow_index < steps - 1:\n",
    "            start_point = trajectory[arrow_index]\n",
    "            end_point = trajectory[arrow_index + 1]\n",
    "            vector = end_point - start_point\n",
    "            # 可根据需要调整箭头长度，这里乘以放大系数\n",
    "            scale_factor = 10\n",
    "            vector = vector * scale_factor\n",
    "            plt.quiver(start_point[0], start_point[1],\n",
    "                       vector[0], vector[1],\n",
    "                       angles='xy', scale_units='xy', scale=1,\n",
    "                       color=colors[si])\n",
    "\n",
    "# 绘制核子位置\n",
    "plt.plot(0, 0, 'ro', markersize=6, label=\"核子\")\n",
    "\n",
    "plt.xlabel(\"x\", fontsize=14)\n",
    "plt.ylabel(\"y\", fontsize=14)\n",
    "plt.title(\"不同速度下的粒子散射轨迹\", fontsize=16)\n",
    "plt.xlim(-20,80)\n",
    "plt.ylim(-3,20)\n",
    "plt.savefig(\"./output/Yukawa_speed.png\")\n",
    "plt.show()\n"
   ],
   "id": "86fc011dba37df95",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:06.188144Z",
     "start_time": "2025-04-29T12:52:05.963642Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 模拟参数\n",
    "num_particles = 20000\n",
    "steps = 2000\n",
    "dt = 0.01\n",
    "speed = 10.0\n",
    "b_min, b_max = -5.0, 5.0  # 瞄准距离范围\n",
    "x0 = -30.0                # 入射起始位置\n",
    "\n",
    "# Yukawa 势参数\n",
    "g2 = 50\n",
    "mu = 0.5\n",
    "\n",
    "# Yukawa 势导出的力函数\n",
    "def yukawa_force(r_vec):\n",
    "    r = np.linalg.norm(r_vec)\n",
    "    if r == 0:\n",
    "        return np.array([0.0, 0.0])\n",
    "    factor = g2 * (mu + 1/r) * np.exp(-mu * r) / r**2\n",
    "    return -factor * r_vec / r\n",
    "\n",
    "\n",
    "# 检查缓存\n",
    "if not os.path.exists(\"./output/Yukawa_MontCal_angle.npy\"):\n",
    "    # 用于保存所有散射角\n",
    "    scattering_angles = []\n",
    "    \n",
    "    for _ in range(num_particles):\n",
    "        b = np.random.uniform(b_min, b_max)\n",
    "        r = np.array([x0, b])\n",
    "        v = np.array([speed, 0.0])\n",
    "    \n",
    "        for i in range(steps):\n",
    "            a = yukawa_force(r)\n",
    "            r = r + v * dt + 0.5 * a * dt**2\n",
    "            v = v + a * dt\n",
    "    \n",
    "            # 粒子已经足够远离核子，可认为散射过程结束\n",
    "            if np.linalg.norm(r) > 40:\n",
    "                angle = np.arctan2(v[1], v[0])  # 最终速度方向与 x 轴的夹角\n",
    "                scattering_angles.append(np.degrees(angle))  # 转为角度\n",
    "                break\n",
    "else:\n",
    "    # 从缓存中读取散射角数据\n",
    "    scattering_angles = np.load(\"./output/Yukawa_MontCal_angle.npy\")\n",
    "\n",
    "\n",
    "# 绘制直方图（散射角分布）\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(scattering_angles, bins=60, density=True, color='steelblue', edgecolor='black')\n",
    "plt.xlabel(\"散射角(degrees)\", fontsize=14)\n",
    "plt.ylabel(\"概率\", fontsize=14)\n",
    "plt.title(\"汤川势下不同瞄准距离散射角变化\", fontsize=16)\n",
    "plt.savefig(\"./output/Yukawa_MontCal_angle.png\")\n",
    "plt.show()\n"
   ],
   "id": "91cb4275a0951f3f",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:06.194244Z",
     "start_time": "2025-04-29T12:52:06.189149Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 缓存结果数组\n",
    "np.save(\"./output/Yukawa_MontCal_angle.npy\", np.array(scattering_angles))"
   ],
   "id": "bd233b2e6ce87a7a",
   "outputs": [],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T12:52:07.272850Z",
     "start_time": "2025-04-29T12:52:06.195338Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "from tqdm import tqdm\n",
    "\n",
    "\n",
    "num_particles = 20000\n",
    "steps = 2000\n",
    "dt = 0.01\n",
    "speed = 10.0\n",
    "b_min, b_max = -5.0, 5.0  # 瞄准距离范围，单位为长度\n",
    "x0 = -30.0               # 入射起始位置\n",
    "\n",
    "# Yukawa 势参数\n",
    "g2 = 50\n",
    "mu = 0.5\n",
    "\n",
    "# Yukawa 势导出的力函数（二维）\n",
    "def yukawa_force(r_vec):\n",
    "    r = np.linalg.norm(r_vec)\n",
    "    if r == 0:\n",
    "        return np.array([0.0, 0.0])\n",
    "    factor = g2 * (mu + 1/r) * np.exp(-mu * r) / r**2\n",
    "    # 注意这里的负号决定了力的方向\n",
    "    return -factor * r_vec / r\n",
    "\n",
    "cache_file = \"./output/Yukawa_MontCal_angle.npy\"\n",
    "if not os.path.exists(cache_file):\n",
    "    scattering_angles = []  # 记录散射角（单位：弧度）\n",
    "    \n",
    "    for _ in tqdm(range(num_particles), desc=\"Simulating particles\"):\n",
    "        b = np.random.uniform(b_min, b_max)\n",
    "        r = np.array([x0, b])\n",
    "        v = np.array([speed, 0.0])\n",
    "    \n",
    "        for i in range(steps):\n",
    "            a = yukawa_force(r)\n",
    "            r = r + v * dt + 0.5 * a * dt**2\n",
    "            v = v + a * dt\n",
    "    \n",
    "            # 当粒子足够远离散射中心（例如 x > 40），认为散射过程结束\n",
    "            if np.linalg.norm(r) > 40:\n",
    "                theta = np.arctan2(v[1], v[0])  # 散射角（弧度），假设 v[0] > 0\n",
    "                scattering_angles.append(theta)\n",
    "                break\n",
    "    \n",
    "    scattering_angles = np.array(scattering_angles)\n",
    "    # 转换为角度（单位：度）\n",
    "    scattering_angles_deg = np.degrees(scattering_angles)\n",
    "    np.save(cache_file, scattering_angles_deg)\n",
    "else:\n",
    "    scattering_angles_deg = np.load(cache_file)\n",
    "\n",
    "num_bins = 60\n",
    "hist_vals, bin_edges = np.histogram(scattering_angles_deg, bins=num_bins, density=True)\n",
    "# hist_vals 的单位: per degree (如果直方图的积分为1)\n",
    "# 计算直方图中心值\n",
    "bin_centers = 0.5*(bin_edges[1:] + bin_edges[:-1])\n",
    "\n",
    "# 总入射截面（二维）= b_max - b_min\n",
    "sigma_total = b_max - b_min  # 单位：长度\n",
    "\n",
    "\n",
    "diff_sigma = sigma_total * hist_vals\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10), dpi=300, sharex=True)\n",
    "\n",
    "\n",
    "ax1.bar(bin_centers, hist_vals, width=(bin_edges[1]-bin_edges[0]), \n",
    "        color='steelblue', edgecolor='black', alpha=0.7)\n",
    "ax1.set_ylabel(\"概率密度 (per°)\", fontsize=14)\n",
    "ax1.set_title(\"散射角概率分布\", fontsize=16)\n",
    "\n",
    "\n",
    "\n",
    "ax2.bar(bin_centers, diff_sigma, width=(bin_edges[1]-bin_edges[0]), \n",
    "        color='orangered', edgecolor='black', alpha=0.7)\n",
    "ax2.set_xlabel(\"散射角 (°)\", fontsize=14)\n",
    "ax2.set_ylabel(\"微分散射截面 (长度/°)\", fontsize=14)\n",
    "ax2.set_title(\"微分散射截面\", fontsize=16)\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"./output/Yukawa_MontCal_angle_hist_with_jiemian.png\")\n",
    "plt.show()\n"
   ],
   "id": "51a41a4ff45bfa26",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 3000x3000 with 2 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 13
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
